# What is the GCF of 10 and 25?

GCF (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 10 and 25 is 5

Two methods to find the GCF of 10 and 25 are explained below.

## Methods to find GCF of 10 and 25

- GCF of 10 and 25 by Prime Factorization
- GCF of `0 and 25 by Common Factors

### Method 1: GCF of 10 and 25 by Prime Factorization

Let us represent 10 and 25 as a product of its prime factors.

Prime factorization of 10 = 2 × 5

Prime factorization of 25 = 5 × 5

The common factor in the prime factorization of 10 and 25 is 5

GCF is the product of the factors that are common to the prime factorization of 10 and 25

This means GCF of 10 and 25 is 5

### Method 2: GCF of 10 and 25 by Listing the Common Factors

Follow the steps given below to find the GCF of 10 and 25 by Listing the Common Factors.

**Step 1:** List the factors of 10 and 25

**Step 2:** Identify the common factors of 10 and 25

**Step 3:** GCF of 10 and 25 is equal to the highest factor among the common factors of 10 and 25

So, GCF of 10 and 25 is 5

You can find the GCF in any of the above methods but the solution will be the same, that is, GCF of 10 and 25 is 5