Greatest Common Factor (GCF)

Definition of Greatest Common Factor

• Greatest common factor is the greatest number that is a factor of each of two or more given numbers.

Examples of Greatest Common Factor

• The greatest common factor of 24 and 15 is 3.
• The greatest common factor of 40, 50, and 25 is 5.

More about Greatest Common Factor

• Greatest Common Factor is abbreviated as GCF.

Solved Example on Greatest Common Factor

Which is the greatest common factor of 20 and 36?

Choices:

A. 20

B. 4

C. 36

D. 180

Correct Answer: B

Solution:

Step 1: The factors of 20 are  and 5.

Step 2: The factors of 36 are  and .

Step 3: So, the greatest common factor or GCF of 20 and 36 is  or 4.

Related Terms for Greatest Common Factor

• Factor
• Common Factor

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