What is the greatest common factor of 108 and 168?

Answer 1

Answer:

The greatest common factor of 108 and 168 is 12.

The common factors of 108 and 168 are 1, 2, 3, 4, 6, and 12.

Definition: A factor is a divisor - a number that will evenly divide into another number. The common factors of two or more numbers are all the factors that the numbers have in common. The greatest common factor of two or more numbers is the largest factor that the numbers have in common.

Methods:

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 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108.

The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, and 168.

The common factors are 1, 2, 3, 4, 6, and 12. Therefore, the greatest common factor is 12.

The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

So the greatest common factor is 2 x 2 x 3 = 12.