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1. Prime factorization
Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
2. List
Example: 30 and 42
The factors of 30 are:
1, 2, 3, 5, 6, 10, 15, 30
The factors of 42 are:
1, 2, 3, 6, 7, 14, 21, 42
The common factors are:
1, 2, 3, 6
The Greatest Common Factor:
GCF = 6
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