# What is the GCF of 25 and 90?

The largest possible number which divides both the given numbers 25 and 90 numbers exactly is called the greatest common factor.

## Answer: GCF of 25 and 90 is 5

Lets see how to find the GCF of 25 and 90

## Explanation:

The greatest common factor of two numbers is the largest possible number which divides both the numbers exactly without any remainder.

## Most common ways to Find GCF of 25 and 90

- Listing the common factors method
- Prime factorization method

### Method 1: GCF of 25 and 90 by Listing the Common Factors

We identify the common factors from the list of all the factors of 25 and 90.

The highest among the common factors is the GCF of 25 and 90.

The factors of 25 are **1**, **5**, 25.

The factors of 90 are **1**, 2, 3, **5**, 6, 9, 10, 15, 18, 30, 45, 90

Common Factors of 25 and 90: 1, 5.

Greatest common factor= 5

GCF of 25 and 90 is 5

### Method 2: GCF(25, 90) by Prime Factorization

We represent 25 and 90 as a product of its prime factors.

Prime factorization of 25 is 5 × 5

Prime factorization of 90 is 2 × 3 × 3 × 5

Common factor = 5

The highest common factor is the product of the factors that are common to each of the given numbers.

GCF (25,90 ) is 5.

Whichever method we opt for, the GCF of 25 and 90 remains the same.