What is the greatest common factor of 60 and 200?

Answer 1

Answer:

The common factors of 60 and 200 are 1, 2, 4, 5, 10, and 20.

The greatest common factor of 60 and 200 is 20.

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 all 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 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200.

The common factors are 1, 2, 4, 5, 10, and 20. Therefore, the greatest common factor is 20.

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

The prime factors of 60 are 2, 2, 3, and 5.

The prime factors of 200 are 2, 2, 2, 5, and 5.

The prime factors in common are 2, 2, and 5, so the greatest common factor is 2 x 2 x 5 = 20.