What is the greatest common factor of 54 and 180?

Answer 1

The GCF of 54 and 180 is 18

One way to determine the greatest common factor is to find all the factors of the numbers and compare them.

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54.

The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180.

The factors they have in common are 1, 2, 3, 6, 9, and 18. Therefore, 18 is the greatest common factor.

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

The prime factors of 54 are 2, 3, 3, and 3.

The prime factors of 180 are 2, 2, 3, 3, and 5.

The prime factors they have in common are 2, 3, and 3, so the greatest common factor is 2 x 3 x 3 = 18.

Answer 2

The GCF is 18.

Answer 3

18.