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The GCF of 120 and 156 is 12.
The prime factors of 120 are 2·2·2·3·5
The prime factors of 156 are 2·2·3·13
The shared prime factors are 2·2·3
The unshared factors are 2, 5, and 13
Consequently the highest common factor will be 2·2·3 = 12
120 = 12*10
156 = 12*13
10 and 13 share no common factors (except 1 of course)
The GCF is 12.
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