# What is the GCF of 25 and 55?

GCF of two numbers 25 and 55 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 25 and 55 is 5

Let us find GCF of 25 and 55

## Explanation:

The greatest common factor (GCF) of two numbers is the largest possible number which divides both the numbers exactly without any remainder. It is also called the highest common factor(HCF).

We will use the following two methods to find the GCF of 25 and 55.

- GCF of 25 and 55 by Long Division Method
- GCF of 25 and 55 by Listing Method

### Method 1: Find GCF of 25 and 55 by Long Division

Step 1: Divide 55 by 25 and check the remainder.

Step 2: Make the remainder of the above step (5) as the divisor and the divisor of the above step (25) as the dividend and perform the long division again.

Step 3: Continue till you get the remainder as 0 and the last divisor will be the GCF of 25 and 55

### Method 2: GCF of 25 and 55 by Listing the Common Factors

In this method, we list all the factors of 25 and 55, then identify the common factors.

The highest among the common factors is the GCF of 25 and 55.

The factors of 25 are 1, 5, 25

The factors of 55 are 1, 5, 11, 55

The common factors of 25 and 55 are 1 and 5.

The greatest common factor or GCF (25, 55) is 5

So, GCF (25, 55) = 5

Irrespective of the method, the solution to our question GCF of 25 and 55 is the same.