Answer: 60
Definition: A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.
Method:
One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them.
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.
The common factors are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. Therefore, the greatest common factor is 60.
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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.