greatest common factor


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 22 and 5.
Step 2: The factors of 36 are 22 and 32.
Step 3: So, the greatest common factor or GCF of 20 and 36 is 22 or 4.

Related Terms for Greatest Common Factor

  • Factor
  • Common Factor