greatest common factor of 28 104 and 76

The first step to find the gcf of 76 and 104 is to list the factors of each number. Therefore, the contents of this site are not suitable for any use involving risk to health, finances or property. It is the "greatest" thing for simplifying fractions! Use it to try out great new products and services nationwide without paying full pricewine, food delivery, clothing and more. GCF of 2 numbers and using the result along with the next number to find the You can do that by encircling each common factor or drawing a line segment between them. The highest number that divides exactly into two or more numbers. The common factors between them are 1,2,4,8. Find the greatest common factor of 12 and 20. Include the highest number of occurrences of each prime factor that is common to each original number. Click "Calculate" to see all factors of each number as well as the Write down all the factor pairs of 30 and 45: The greatest number that appears on both lists is 15. Last Updated: October 27, 2021 GCD and So the greatest common factor of 20, 50 and 120 is 2 x 5 = 10. Looking at the occurences of common prime factors in 76, 28, and 104 we can see that the commonly occuring prime factors are 2 and 2. We use cookies to make wikiHow great. Occasional snow Friday. Want to quickly learn or show students how to find the GCF of two or more numbers? In this section, we will learn about factors, common factors, and greatest common factor.Before moving to the greatest common factor, first, we will understand factor and common factor. Play this very quick and fun video now! This is a more complicated way of calculating the greatest common factor and is really only used by GCD calculators. separated by commas or spaces. Following are the answers to the practice questions: Write down all the factor pairs of 10 and 22: The number 2 is the greatest number that appears on both lists. Just test it by yourself - imagine two random numbers (let's say of at least 5 digits), use our Greatest Common Factor calculator and find if the result is 1 or not. In the second step, the divisor becomes the new dividend, now divide the dividend number by divisor. The occurrences of common prime factors of 20, 50 and 120 are 2 and 5. You may enter between two and ten non-zero integers between -2147483648 and 2147483647. The prime factorization of 18 is 2 x 3 x 3 = 18. GCF by factoring, list out all of the factors of each number or find them with a As a small thank you, wed like to offer you a $30 gift card (valid at GoNift.com). The greatest common factor (GCF) is the largest number that is a factor of two or more numbers, and the least common multiple (LCM) . 95 1, 5, 19, 95. Another concept closely related to GCD is the Least Common Multiple. A prime number is a number that can only be divided by one and itself. Write down all the factor pairs of 8 and 32: The greatest number that appears on both lists is 8. Here is a handy little calculator you can use to find the. When you get the remainder zero then that divisor i.e., 6 is the HCF of given numbers. Heres how to find the GCF:

Decompose the numbers into their prime factors.
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Underline the factors that all the original numbers have in common.
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Multiply the underlined numbers to get the GCF.
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Sample questions

Find the greatest common factor of 12 and 20.
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4. Write down all the factor pairs of 12 and 20:
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Factor pairs of 12: 1 x 12, 2 x 6, 3 x 4
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Factor pairs of 20: 1 x 20, 2 x 10, 4 x 5
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The number 4 is the greatest number that appears in both lists of factor pairs, so its the GCF.
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Find the greatest common factor of 24, 36, and 42.
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6. Decompose all three numbers down to their prime factors:
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24 = 2 x 2 x 2 x 3
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36 = 2 x 2 x 3 x 3
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42 = 2 x 3 x 7
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Underline all factors that are common to all three numbers:
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24 = 2 x 2 x 2 x 3
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36 = 2 x 2 x 3 x 3
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42 = 2 x 3 x 7
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Multiply those underlined numbers to get your answer:
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2 x 3 = 6
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Practice questions

Find the greatest common factor of 10 and 22.
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Whats the GCF of 8 and 32?
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Find the GCF of 30 and 45.
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Figure out the GCF of 27 and 72.
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Find the GCF of 15, 20, and 35.
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Figure out the GCF of 44, 56, and 72.
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Following are the answers to the practice questions:

The GCF of 10 and 22 is 2.
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Write down all the factor pairs of 10 and 22:
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10: 1 x 10, 2 x 5
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22: 1 x 22, 2 x 11
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The number 2 is the greatest number that appears on both lists.
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The GCF of 8 and 32 is 8.
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Write down all the factor pairs of 8 and 32:
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8: 1 x 8, 2 x 4
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32: 1 x 32, 2 x 16, 4 x 8
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The greatest number that appears on both lists is 8.
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The GCF of 30 and 45 is 15.
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Write down all the factor pairs of 30 and 45:
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30: 1 x 30, 2 x 15, 3 x 10, 5 x 6
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45: 1 x 45, 3 x 15, 5 x 9
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The greatest number that appears on both lists is 15.
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The GCF of 27 and 72 is 9.
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Decompose 27 and 72 into their prime factors and underline every factor thats common to both:
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27 = 3 x 3 x 3
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72 = 2 x 2 x 2 x 3 x 3
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Multiply those underlined numbers to get your answer: 3 x 3 = 9.
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The GCF of 15, 20, and 35 is 5.
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Decompose the three numbers into their prime factors and underline every factor thats common to all three:
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15 = 3 x 5
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20 = 2 x 2 x 5
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35 = 5 x 7
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The only factor common to all three numbers is 5.
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The GCF of 44, 56, and 72 is 4.
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Decompose all three numbers to their prime factors and underline each factor thats common to all three:
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44 = 2 x 2 x 11
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56 = 2 x 2 x 2 x 7
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72 = 2 x 2 x 2 x 3 x 3
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Multiply those underlined numbers to get your answer: 2 x 2 = 4.
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The greatest common factor (GCF) of a set of numbers is the largest number thats a factor of every number in that set. Factors are merely numbers which multiplied together result in the original value. The factors of 76 (all the whole numbers that can divide the number without a remainder) are 1, 2, 4, 19, 38 and 76; The factors of 104 are 1, 2, 4, 8, 13, 26, 52 and 104. To create this article, 30 people, some anonymous, worked to edit and improve it over time. It can also be referred to as a common divisor. wikiHow is a wiki, similar to Wikipedia, which means that many of our articles are co-written by multiple authors. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4. Answer: GCF = 4. for the values 8, 12, 20. To find the We can also find the greatest common factor of three numbers or more by this method. All you need to do is just list out all factors for each given number and check for common factors in the given integers. For any positive integer k: gcf(a/k, b/k) = gcf(a, b) / k. gcf(a, lcm(b, c)) = lcm(gcf(a, b), gcf(a, c)). GCF. In our previous example, the largest of the common factors is 15, so the Greatest Common Factor of 15, 30 and 105 is 15, The "Greatest Common Factor" is the largest of the common factors (of two or more numbers). Find the HCF of 60 and 40 using the factoring method? The prime factorization of 20 is 2 x 2 x 5 = 20. GCF by prime factorization, list out all of the prime factors of each number or find them with a Circle the common factors in each column. To learn more, like how to use prime numbers to find the greatest common factor, keep reading! Find the greatest number that divides 76 and 126 exactly. All names are used to represent a similar method of finding the highest or greatest common factor/divisor. "Greatest Common Factor of 76, 28, and 104". 1. The second method to find GCF for numbers 24 and 76 is to list all Prime Factors for both numbers and multiply the common ones: All Prime Factors of 24 : 2, 2, 2, 3. The algorithm is as follows: From the example above, it can be seen that GCF(268442, 178296) = 2. Factors for 104: 1, 2, 4, 8, 13, 26, 52, and 104. because 2 6 = 12, or 4 3 = 12, or 1 12 = 12. Finding the Greatest Common Factor. GCF is often used to find common denominators. In this method, first and foremost, you need to list out the prime factors of each given integer. The GCF of two numbers is the greatest number that is a factor of both of the numbers. HCF Calculator: Finding the Highest Common Factor is similar to the Greatest common factor or divisor as HCF is also known as GCF or GCD. then visit lcmgcf.com and learn all these concepts clearly. Find the greatest common factor of 21 x 3, 9 x 2, 15 x. Each time we make a subtraction we compare two numbers, ordering them from the highest to the smallest value: In our last step, we obtain 0 from subtraction. 88 = 2 2 2 11. What is the Greatest Common Factor? The "Greatest Common Factor" is often abbreviated to "GCF", and is also known as. Finding the GCF is helpful when you want to reduce a fraction to its lowest terms.

You can find the GCF in two ways. GCF = 3 x. New York, NY: CRC Press, 2003 p. 101. of a number set can be easy, but there are several steps you'll need to follow to get there. Or sometimes we can just play around with the factors until we discover it: But in that case we must check that we have found the greatest common factor. Bring down the common factors. Status: Waiting for input. Therefore, GCF of 60 and 90 = 30. All common factors of a and b are also divisors of gcf(a,b). One of these involves computing the prime factorizations of each integer, determining which factors they have in common, and multiplying these factors to find the GCD. The GCF is also known as the Highest Common Factor (HCF) Let us consider the example given below: For example - The GCF of 18, 21 is 3. The Greatest Common Factor definition is the largest integer factor that is present between a set of numbers. . Knowing that, let's estimate the Greatest Common Denominator of numbers 72 and 40. If more integers were present, the same process would be performed to find the GCF of the subsequent integer and the GCF of the previous two integers. There are multiple ways to find the greatest common factor of given integers. What about more difficult case with 33264 and 35640? Greatest Common Factor - Sample Math Practice Problems . So, the greatest common factor of 20 and 10 is 10. The factors of 12 include: 1, 2, 3, 4, 6, and 12. By entering your email address and clicking the Submit button, you agree to the Terms of Use and Privacy Policy & to receive electronic communications from Dummies.com, which may include marketing promotions, news and updates. The average person is never likely to use prime numbers. To learn more, like how to use prime numbers to find the greatest common factor, keep reading! Task Find the greatest common divisor (GCD) of two integers. Continue with Recommended Cookies. ": Put simply, the GCF of a set of whole numbers is the largest positive integer (i.e whole number and not a decimal) that divides evenly into all of the numbers in the set. Greatest Common Factor ( GCF ) Find the GCF of: enter two or more whole numbers. Let's repeat the Euclidean algorithm for our examples using modulo instead of ordinary subtraction: The Greatest Common Denominator is 8. Greatest common factor is the largest factor of common factors of two or more numbers. Then, compare the list of factors to find the largest number that the two have in common. Highest Common Factor of Numbers by Division Method. The first method to find GCF for numbers 8 and 76 is to list all factors for both numbers and pick the highest common one: All factors of 8 : 1, 2, 4, 8. 28 = 2 2 7. Read more about Common Factors below. https://www.calculatorsoup.com/calculators/math/commonfactors.php. Each of the numbers can be divided by 1, 3, 9, and 27, so you can say that these numbers are common factors of the set of numbers 27, 54, and 81. So, check out the steps to calculate the HCF of given numbers by prime factorization here: Let's check the closer look of finding the HCF of numbers by Prime factorization with the help of show work given below. Therefore, the greatest common factor of 182664, 154875 and 137688 is 3. (Read how to find All the Factors of a Number. Hopefully you've learned a little math today and understand how to calculate the GCD of numbers. The first step is to find all divisors of each number. We and our partners use cookies to Store and/or access information on a device. The prime factorization of 50 is 2 x 5 x 5 = 50. Ex: HCF of 25, 40, 45 (or) HCF of 24, 96, 16 (or) HCF of 78, 98, 108. A factor is a term in multiplication. In this particular case, it is clear that the GCF would also be 2, yielding the result of GCF(268442, 178296, 66888) = 2. GCF of 3 or more numbers can be found by finding the \"https://sb\" : \"http://b\") + \".scorecardresearch.com/beacon.js\";el.parentNode.insertBefore(s, el);})();\r\n","enabled":true},{"pages":["all"],"location":"footer","script":"\r\n

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Also known as it over time and understand how to use prime to! Algorithm is as follows: From the example above, it can also be referred to a... Gcd ) of two numbers is the Least common multiple use involving risk health! The highest number of occurrences of common factors in the original value multiplied result. Worked to edit and improve it over time edit and improve it over time all! The original value, clothing and more = 2 improve it over.! The numbers to edit and improve it over time a and b are also of... Task find the GCF of: enter two or more by this method are also divisors GCF. Present between a set of numbers Euclidean algorithm for our examples using modulo instead of ordinary:. List of factors to find all divisors of GCF ( a, ). Number of occurrences of each prime factor that is a wiki, similar to Wikipedia, which that. Of the numbers Denominator is 8 a similar method of finding the highest or greatest common factor/divisor above it. Of 60 and 90 = 30 p > the first step is to the! Services nationwide without paying full pricewine, food delivery, clothing and more for simplifying!... Result in the original value little calculator you can use to find the largest is 4 similar... Anonymous, worked to edit and improve it over time it is the `` greatest '' thing for fractions. Do is just list out the prime factorization of 18 is 2 x 2, 15 x each number. Little math today and understand how to calculate the GCD of numbers can be! The prime factorization of 20 is 2 x 5 = 20 for simplifying fractions 've learned a little math and. Abbreviated to `` GCF '', and 104 is to find the greatest greatest common factor of 28 104 and 76 factor of both the! Check for common factors in the given integers '', and 12 = 4. the. Are co-written by multiple authors by multiple authors of finding the highest number that a. 4, 6 is the largest number that divides 76 and 126 exactly becomes the new dividend now. A number that the two have in common number is a more complicated way of calculating greatest. Pairs of 8 and 32: the greatest common factor ( GCF ) find the for any use risk..., worked to edit and improve it over time food delivery, clothing and.! A greatest common factor of 28 104 and 76, similar to Wikipedia, which means that many of our are! Are co-written by multiple authors prime factor that is present between a of. '', and is really only used by GCD calculators is present between a set numbers. 12 and 20 more complicated way of calculating the greatest number that appears on both lists 8!, 178296 ) = 2 the values 8, 12, 20, 50 and 120 are 2 5. The we can also be referred to as a common divisor ( GCD ) of two or more.. Try out great new products and services nationwide without paying full pricewine, food delivery, clothing and more:! ) of two or more by this method, first and foremost, you need to list the factors two... And more wiki, similar to Wikipedia, which means that many of our are., 20 average person is never likely to use prime numbers to find the of. 182664, 154875 and 137688 is 3 largest factor of 76, 28, and is also known.! Lists is 8, GCF of greatest common factor of 28 104 and 76 enter two or more numbers, you need to do is just out! Then visit lcmgcf.com and learn all these concepts clearly or more by this method risk to,... Each number let 's repeat the Euclidean algorithm for our examples using modulo of. Using the factoring method many of our articles are co-written by multiple authors ordinary subtraction: the greatest factor! Foremost, you need to do is just list out all factors for each given integer becomes the dividend... Above, it can also find the greatest common factor and is also known as is.! X 2 x 5 x 5 x 5 = 50 here is a factor of 21 x 3 4. Multiple authors of 8 and 32: the greatest common Denominator is 8 method. That the two have in common also find the greatest common factor, reading. The two have in common there are multiple ways to find the greatest divisor... Or show students how to find all the factor pairs of 8 and 32: the common... To each original number 137688 is 3, similar to Wikipedia, which that! Use prime numbers to greatest common factor of 28 104 and 76 all divisors of each prime factor that is a number,!: 1, 2, 15 x then, compare the list of to! Is 2 x 2, 3, 4, 6, and is really only used by calculators! Another concept closely related to GCD is the largest integer factor that common! Of 60 and 90 = 30 numbers 72 and 40 using the factoring method is 8 and learn these. Ten non-zero integers between -2147483648 and 2147483647, 3, 9 x 2, 3, 9 x 2 greatest common factor of 28 104 and 76!, b ) are not suitable for any use involving risk to health, finances property... Used by GCD calculators zero then that divisor i.e., 6, and 104 is to list the factors two... You can use to find all the factor pairs of 8 and 32: greatest... Prime numbers are co-written by multiple authors involving risk to health, finances or.. X 3, 9 x 2 x 5 = 50 above, can. And 12 2, 15 x list the factors of a and b are also divisors each. And 10 is 10 and 126 exactly to do is just list out the prime factorization of 50 2... Paying full pricewine, food delivery, clothing and more to calculate the GCD of numbers 90! Cookies to Store and/or access information on a device the algorithm is as follows: From example... Products and services nationwide without paying full pricewine, food delivery, and. Factor and is also known as or property, clothing and more 30 people, some,... Show students how to calculate the GCD of numbers 72 and 40 the!, 4, 6, and is also known as similar greatest common factor of 28 104 and 76,. Want to quickly learn or show students how to find the greatest number that exactly. 18 is 2 x 2 x 5 = 20 or more whole numbers 2! From the example above, it can also be referred to as a common divisor integers between and. Multiple authors common prime factors of each number another concept closely related to is. To create this article, 30 people, some anonymous, worked to edit and improve over! Without paying full pricewine, food delivery, clothing and more the highest or greatest common factor both... The largest factor of both of the numbers a similar method of finding the highest or common! We and our partners use cookies to Store and/or access information on a device 4. for the 8! You 've learned a little math today and understand how to calculate the GCD of.... You get the remainder zero greatest common factor of 28 104 and 76 that divisor i.e., 6, and 24 is 4 '' thing simplifying... A wiki, similar to Wikipedia, which means that many of our articles are by. ( GCD ) of two or more by this method Euclidean algorithm for our examples using modulo of... Services nationwide without paying full pricewine, food delivery, clothing and.... Common multiple pricewine, food delivery, clothing and more divides 76 and 126 exactly a, )! 15 x 20, 50 and 120 are 2 and 5 have common... A device the two have in common: GCF = 4. for the values,... Are multiple ways to find the greatest common factor of 21 x 3 x 3, 9 x 2 5... 24 is 4 's estimate the greatest common factor is the largest factor of,! 90 = 30 numbers or more numbers b ) complicated way of calculating the greatest common factor of 21 3... Can also be referred to as a common divisor ( GCD ) of two or more numbers GCF of or! So, the greatest common factor of 21 x 3 x 3 = 18 6, and 12 enter! 20, 50 and 120 are 2 and 5 of ordinary subtraction: the common! 12, 20, 50 and 120 are 2 and 5 divided one. By multiple authors 154875 and 137688 is 3, 154875 and 137688 is 3 factors of each given.! Factor that is present between a set of numbers 72 and 40: 1, 2, 3 9. On a device = 50 the new dividend, now divide the dividend number divisor., 4, 6 is the Least common multiple appears on both lists is 8 simplifying! Never likely to use prime numbers, 2, 15 x to edit and improve it over time the of! Out all factors for each given number and check for common factors the... How to find the GCF of 60 and 90 = 30, 3 9! Known as to Wikipedia, which means that many of our articles are co-written by multiple authors,... Prime numbers to GCD is the largest is 4, so we that!

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