What is the greatest common factor of 84 and 120?

The GCF of 84 and 120 is 12

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 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.

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, 6, and 12. Therefore, the greatest common factor is 12.

The Greatest Common Factor (GCF) of 120 and 84 is 12.