# What is The GCF of 8 and 12?

Greatest Common Factor of two or more numbers is the largest possible number that divides the given numbers exactly without any remainder.

## Answer: GCF of 8 and 12 is 4

Let us see how to find the GCF using differet methods

## Explanation:

We can find the GCF by the following methods

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

### GCF of 8 and 12 by Prime Factorization

Let us represent 8 and 12 as a product of its prime numbers

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

GCFof 8 and 12 is 2 × 2 = 4

### GCF of 8 and 12 by Listing the Common Factors

Common Factors of 8 and 12: 1, 2, and 4

GCF of 8 and 12 is 4

### GCF of 8 and 12 by Long Division

- Step 1: Divide 12 by 8 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.