# What is the GCF of 5 and 25?

GCF of two numbers 5 and 25 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 5 and 25 is 5

Let us see how to find the GCF of 5 and 25.

## Explanation:

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

## Methods to Find GCF of 5 and 25

- Listing the common factors
- Long division

### Method 1: GCF of 5 and 25 by Listing the Common Factors

In this method,

- we list all the factors of 5 and 25
- Then identify the common factors.
- The highest among the common factors is the GCF of 5 and 25.

Factors of 5 are 1,5

Factors of 25 are 1, 5, 25.

Common Factors of 5 and 25: 1, 5.

Greatest common factor= 5

GCF of 5 and 25 is 5

### Method 2: GCF of 5 and 25 by Long Division

- Step 1: Divide 25 by 5 and check the remainder.
- Step 2: Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
- Step 3: Continue till you get the remainder as 0

Irrespective of the method, the solution to our question GCF of 5 and 25 is the same.

### Thus, GCF of 5 and 25 is 5

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