# What is the GCF of 12 and 18?

Greatest common factor of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.

## Answer: GCF of 12 and 18 is 6

Let's see how to find the GCF of 12 and 18

## Explanation:

Methods to Find the GCF of 12 and 18

We can find the GCF by the following methods

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

### GCF of 12 and 18 by Prime Factorization

Let us represent 12 and 18 as a product of its prime numbers

GCF is the product of the factors that are common to each of the given numbers.

### GCF of 12 and 18 by Listing the Common Factors

Common Factors of 12 and 18 are 1, 2, 3, 6

Greatest common factor= 6

GCF of 12 and 18 is 6

### GCF of 12 and 18 by Long Division

- Step 1: Divide 18 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 remainder as 0

You can find the GCF in any of the above methods but the solution will be the same.