# What is the GCF of 7 and 56?

GCF of two numbers 7 and 56 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 7 and 56 is 7

Let us find GCF of 7 and 56

## 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 56.

- GCF of 7 and 56 by Prime factorization Method
- GCF of 7 and 56 by Listing Method

### Method 1: Find GCF of 7 and 56 by Prime Factorization

In this method, we express 7 and 56 as a product of its prime factors.

Prime factorization of 7 is **7** (as 7 itself is a prime number)

Prime factorization of 56 is 2 × 2 × 2 × **7**

Common factor of 7 and 56 is 7

GCF is the product of the factors that are common to each of the given numbers.

GCF of 7 and 56 is 7

### Method 2: GCF of 7 and 56 by Listing the Common Factors

In this method, we determine the common factors from the list of all the factors of 7 and 56.

The highest among the common factors is the GCF of 7 and 56.

The factors of 7 are 1 and 7.

The factors of 56 are **1**, 2, 4, **7**, 8, 14, 28, and 56.

Common Factors of 7 and 56: 1, 7.

The greatest common factor of 7 and 56 7

GCF of 7 and 56 is 7

Actually, 7 itself is a factor of 56. So, the highest or greatest common factor of 7 and 56 is 7 itself.

Irrespective of the method, the solution to our question GCF(7, 56) is the same.