# What is GCF of 25 and 45 ?

GCF of two numbers 25 and 45 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 25 and 45 is 5

The greatest common factor(GCF) of two numbers is the largest possible number which divides both the numbers exactly.

## Explanation:

Methods to Find GCF(25,45)

- Prime factorization Method
- Listing the common factors method

### Method 1: GCF of 25 and 45 by Prime Factorization

The process is that we represent 25 and 45 as a product of its prime factors

Prime factorization of 25 is 5 × 5

Prime factorization of 45 is 3 × 3 × 5

Common factor = 5

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

GCF is 5

### Method 2: GCF of 25 and 45 by Listing the Common Factors

Let us list all the factors of 25 and 45, then identify the common factors.

The highest among the common factors is the GCF of 25 and 45.

The factors of 25 are 1, 5, 25

The factors of 45 are 1, 3, 5, 9, 15, 45

Common Factors of 25 and 45: 1, 5.

Greatest common factor= 5

GCF of 25 and 45 is 5

Irrespective of the method, the GCF(25, 45) is the same.