# What is the GCF of 3 and 12?

The greatest common factor of two numbers is the greatest possible number which divides the numbers exactly without any remainder.

## Answer: The GCF of 3 and 12 is 3

## Explanation:

We can find the GCF by the following methods:

### Methods to find GCF of 3 and 12

- Long Division Method
- Listing the common factors method

### Find GCF of 3 and 12 by Long Division

The steps to find the GCF(3, 12) by long division are mentioned below.

- Step 1: Divide 12 by 3 and check the remainder.
- Step 2: Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
- Step 3: Continue till you get the remainder as 0

GCF of 3 and 12 will the lats divisor in the process. So, the greatest common factor of 3 and 12 is 3

### Find GCF of 3 and 12 by Listing the Common Factors

The factors of 3 and 12 are shown below.

There are two common factors of 3 and 12, that are, 1 and 3

The greatest common factor of 3 and 12 is 3