Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCF (60, 84, 120) = 12
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The GCF of 60, 80, and 120 is 20
12
60
The greatest common factor of the numbers 120, 180 and 240 is 60. The GCF can't be any larger than the smallest difference between the numbers, which is 60. It is easy to see that 60 is a factor of each of the numbers in the set, so it is the GCF.
The greatest common factor for 60 and 130 is 10.