###### Asked in Factoring and Multiples

# What is the greatest common factor of 100 and 1000?

## Answer

###### Wiki User

###### April 26, 2009 6:34PM

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 both numbers have in common.

In this case, since 100 will divide evenly into 1000, it must be the greatest common factor, since it is the largest factor of itself.

Another 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 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.

The factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, and 1000.

The common factors are 1, 2, 4, 5, 10, 20, 25, 50, and 100. Therefore, the greatest common factor is 100.