# What is the GCF of 10 and 18?

The highest possible number which divides the given numbers exactly without any remainder is called the GCF (Greatest Common Factor).

## Answer: GCF of 10 and 18 is 2

GCF of 10 and 18 is the highest number that divides 10 and 18 exactly leaving the remainder 0.

## Explanation:

Look at the methods to find the GCF (10, 18)

- GCF of 10 and 18 by Prime Factorization
- GCF of 10 and 18 by Listing the Common Factors

### Method 1: Find GCF of 10 and 18 by Prime Factorization

Represent 10 and 18 as a product of its prime factors.

Prime factorization of 10 is 2 × 5

Prime factorization of 18 is 2 × 3 × 3

The common factor in the prime factorization of 10 and 18 is 2

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

So, GCF of 10 and 18 is 2

### Method 2: Find GCF of 10 and 18 by Listing the Common Factors

The factors of 10 and 18 are shown below.

There are only 2 common factors of 10 and 18, that are, 1 and 2

The greatest common factor of 10 and 18 is 2

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