What is the greatest common factor of 60 and 100?

Answer 1

The GCF of 60 and 100 is 20.

One way to determine the 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 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.

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 100 are 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.

This is one that could be relatively easy to determine by guessing. Because they both end in 0, 10 is obviously a factor.

60 ÷ 10 = 6

100 ÷ 10 = 10

Both 10 and 6 are even numbers, so they are divisible by 2.

6 ÷ 2 = 3

10 ÷ 2 = 5

Since 3 and 5 have no common factors, the greatest common factor is the product of the two numbers that were able to evenly divide the numbers, so it is 10 x 2 = 20.
It is: 20

Answer 2

20 is.