![]() So, the greatest common factor of 120 and 50 is 10. GCF of 2 numbers and using the result along with the next number to find the GCF of 3 or more numbers can be found by finding the So, the greatest common factor of 18 and 27 is 9, the smallest result we had before we reached 0. When you reach zero, go back one calculation: the GCF is the number you found just before the zero result.Repeat the process for every new larger number and smaller number until you reach zero.Subtract the result from Step 2 from the new larger number. Use the original small number as the new larger number.Repeat the process subtracting the smaller number from the result until the result is smaller than the original small number.Given two whole numbers, subtract the smaller number from the larger number and note the result.How to Find the GCF Using Euclid's Algorithm But if you need to do the factorization by hand it will be a lot of work. Prime Factorization Calculator or even the GCF of more than two very large numbers such as 182664, 154888? It's easy if you have a So the greatest common factor of 20, 50 and 120 is 2 x 5 = 10. The occurrences of common prime factors of 20, 50 and 120 are 2 and 5. The prime factorization of 120 is 2 x 2 x 2 x 3 x 5 = 120. The prime factorization of 50 is 2 x 5 x 5 = 50. The prime factorization of 20 is 2 x 2 x 5 = 20. So the greatest common factor of 18 and 27 is 3 x 3 = 9. The occurrences of common prime factors of 18 and 27 are 3 and 3. The prime factorization of 27 is 3 x 3 x 3 = 27. The prime factorization of 18 is 2 x 3 x 3 = 18. You will see that as numbers get larger the prime factorization method may be easier than straight factoring. Include the highest number of occurrences of each prime factor that is common to each original number. List the prime factors that are common to each of the original numbers. GCF by prime factorization, list out all of the prime factors of each number or find them with a The greatest common factor of 20, 50 and 120 is 10. ![]() (Include only the factors common to all three numbers.) The common factors of 20, 50 and 120 are 1, 2, 5 and 10. The greatest common factor of 18 and 27 is 9. The common factors of 18 and 27 are 1, 3 and 9. Given the list of common factors for each number, the GCF is the largest number common to each list. The whole number factors are numbers that divide evenly into the number with zero remainder. GCF by factoring, list out all of the factors of each number or find them with aįactors Calculator. The most efficient method you use depends on how many numbers you have, how large they are and what you will do with the result. There are several ways to find the greatest common factor of numbers. How to Find the Greatest Common Factor (GCF) GCF(5,0) = 5 and more generally GCF(k,0) = k for any whole number k. In this example, 5 and 0 are factors of 0. K × 0 = 0 so, 0 ÷ k = 0 for any whole number k.įor example, 5 × 0 = 0 so it is true that 0 ÷ 5 = 0. For example, for the set of numbers 18, 30 and 42 theĪny non zero whole number times 0 equals 0 so it is true that every non zero whole number is a factor of 0. The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. ![]() The Greatest Common Factor Calculator solution also works as a solution for finding: HCF of a set of two or more numbers and see the work using factorization.Įnter 2 or more whole numbers separated by commas or spaces.
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