# What is the GCF of 9 and 10?

GCF of two numbers 9 and 10 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 9 and 10 is 1

Let us find GCF of 9 and 10

## Explanation:

The greatest common factor (GCF) of two numbers is the largest possible whole 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 9 and 10.

- GCF of 9 and 10 by Long Division Method
- GCF of 9 and 10 by Listing Method

### Method 1: Find GCF of 9 and 10 by Long Division

Step 1: Divide 10 by 9 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 and the last divisor of the process is the GCF (9, 10)

### Method 2: Find GCF of 9 and 10 by Listing the Common Factors

In this method,

- We list all the factors of 9 and 10,
- Identify the common factors.
- The highest among the common factors is the GCF of 9 and 10.

The factors of 9 are 1, 3, and 9

The factors of 10 are 1, 2, 5, and 10

The common factor of 9 and 10 is 1

The greatest common factor(GCF) of 9 and 10 is 1. Actually, the GCF of any two consecutive numbers is always 1.

Irrespective of the method, the solution to our question GCF of 9 and 10 is the same.