Factoring and Multiples

What is the greatest common factor of 68 and 90?

Answer

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04/27/2009

Answer: 2

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 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 68 are 1, 2, 4, 17, 34, and 68.

The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90.

The common factors are 1 and 2. Therefore, the greatest common factor is 2.