# What is the GCF of 25 and 50?

The greatest common factor, or in short, GCF of two numbers 25 and 50 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 25 and 50 is 25

The greatest common factor of two numbers is the largest possible number which divides both the numbers exactly without any remainder. It is also sometimes referred as to the highest common factor.

## Explanation:

Common Methods to Find GCF of 25 and 50

- Listing the common factors method
- Long division Method

### Method 1: GCF(25,50) by Listing the Common Factors

In this method, we list all the factors of 25 and 50, then identify the common factors.

The highest among the common factors is the GCF of 25 and 50.

Factors of 25 are 1, 5, 25.

Factors of 50 are 1, 2, 5, 10, 25, 50.

Common Factors of 25 and 50: 1, 5, 25.

Greatest common factor= 25

GCF of 25 and 50 is 25

### Method 2: GCF(25,50) by Long Division

- Step 1: Divide 50 by 25 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 remainder as 0
- The last divisor is the required GCF(25,50)

Here, 25 is itself the factor of 50. So, the highest common divisor or factor for both of them is 25.

Therefore, GCF(25,50) is non-other than 25 itself.

Irrespective of the method, the solution to our question GCF of 25 and 50 is the same.