What is the greatest common factor of 84 and 108?

Answer 1

Well, honey, the greatest common factor of 84 and 108 is 12. You see, it's the largest number that can divide both 84 and 108 without leaving a remainder. So, there you have it, 12 is the winner in this math showdown.

Answer 2

The GCF of 84 and 108 is 12.

One way to determine the 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 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, and 108.

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.

The prime factors of 84 are 2, 2, 3, and 7.

The prime factors of 108 are 2, 2, 3, 3, and 3.

The prime factors in common are 2, 2 and 3, so the greatest common factor is 2 x 2 x 3 = 12.

Answer 3

GCF(84, 108) = 12.