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Calculate the Greatest Common Factor or GCF of 72 and 2678

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The instructions to find the GCF of 72 and 2678 are the next:

1. Decompose all numbers into prime factors

722
362
182
93
33
1
26782
133913
103103
1

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

Prime factors of 72=23 . 32
Prime factors of 2678=2 . 13 . 103

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2

Common prime factors with the lowest exponent: 21

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.

GCF = 21 = 2


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