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Calculate the Greatest Common Factor or GCF of 15 and 108

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The instructions to find the GCF of 15 and 108 are the next:

1. Decompose all numbers into prime factors

153
55
1
1082
542
273
93
33
1

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

Prime factors of 15=3 . 5
Prime factors of 108=22 . 33

3. Choose the common prime factors with the lowest exponent

Common prime factors: 3

Common prime factors with the lowest exponent: 31

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 = 31 = 3


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