# What is the GCF of 8 and 28?

GCF of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder. It is also termed as greatest common factor.

## Answer: GCF of 8 and 28 is 4

We can find the GCF by the following methods:

## Explanation:

## Methods to find GCF of 8 and 28

We can calculate the greatest common factor(GCF), by the following methods

- Prime factorization Method
- Listing the common factors method

### Find GCF of 8 and 28 by Prime Factorization

Represent 8 and 28as a product of its prime factors.

Prime factorization of 8 is 2 × 2 × 2

Prime factorization of 28 is 2 × 2 × 7

Common factors = 2 × 2

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

So, GCF(8, 28) = 4

### Find GCF of 8 and 28 by Listing the Common Factors

Common Factors of 8 and 28: 1, 2 and 4

The greatest common factor is 4

GCF of 8 and 28 is 4