# 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 2^{2} and 5.

**Step 2:** The factors of 36 are 2^{2} and 3^{2}.

**Step 3:** So, the greatest common factor or GCF of 20 and 36 is 2^{2} or 4.

**Related Terms for Greatest Common Factor**