# What is the GCF of 7 and 35?

GCF of two numbers 7 and 35 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 7 and 35 is 7

Let us find GCF of 7 and 35

## 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 7 and 35.

- GCF of 7 and 35 by Long Division Method
- GCF of 7 and 35 by Listing Method

### Method 1: GCF of 7 and 35 by Long Division

- Step 1: Divide 35 by 7 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

Here 7 is an exact divisor of 35 itself.

### Method 2: GCF of 7 and 35 by Listing the Common Factors

In this method, we list all the factors of 7 and 35, then identify the common factors.

The highest among the common factors is the GCF of 7 and 35.

The factors of 7 are 1, 7

The factors of 35 are 1, 5, 7, and 35.

Common Factors of 7 and 35 are 1 and 7

The greatest common factor of 7 and 35 is 7

GCF of 7 and 35 is 7

The solution to our question GCF of 7 and 35 does not depend on the method we choose, it always remains the same.