# What is the GCF of 12 and 60?

The greatest common factor(GCF) of two numbers 12 and 60 is the largest whole number which divides both the numbers exactly, without leaving any remainder.

## Answer: GCF of 12 and 60 is 12

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

## Explanation:

Let us Find GCF of 12 and 60

- Prime factorization Method
- Listing the common factors method
- Long division Method

### Method 1: GCF of 12 and 60 by Listing the Common Factors

In this method, we list all the factors of 12 and 60, then identify the common factors.

The highest among the common factors is the GCF of 12 and 60.

The factors of 12 are 1, 2, 3, 4, 6, 12

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.

Common Factors of 12 and 60: 1, 2, 3, 4, 6, 12.

Greatest common factor= 12

GCF of 12 and 60 is 12

### Method 2: GCF of 12 and 60 by Long Division

Step 1: Divide 60 by 12 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

- Here 12 actually divides 60 without any remainder, so GCF or GCD is the same as 12