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Calculate the Greatest Common Factor or GCF of 51, 89, 35, 68 and 100

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The instructions to find the GCF of 51, 89, 35, 68 and 100 are the next:

1. Decompose all numbers into prime factors

513
1717
1
8989
1
355
77
1
682
342
1717
1
1002
502
255
55
1

2. Write all numbers as the product of its prime factors

Prime factors of 51=3 . 17
Prime factors of 89=89
Prime factors of 35=5 . 7
Prime factors of 68=22 . 17
Prime factors of 100=22 . 52

3. Choose the common prime factors with the lowest exponent

Common prime factors: None

Common prime factors with the lowest exponent: None

4. Calculate the Greatest Common Factor or GCF

Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.

Since there are not common prime factors the GCF is 1


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