# What is the GCF of 7 and 8?

GCF (Greatest Common Factor) of 7 and 8 is the greatest possible number which divides the numbers 7 and 8 exactly without any remainder.

## Answer: GCF of 7 and 8 is 1

Let us see how to find the GCF of 7 and 8.

## Explanation:

Two methods to find the GCF of 7 and 8 are explained below.

### Greatest Common Factor of 7 and 8 by Listing the Common Factors

Follow the steps given below to find the GCF of 7 and 8 by listing the common factors.

**Step 1:** List the factors of 7 and 8

**Step 2:** Identify the common factors of 7 and 8

**Step 3:** GCF of 7 and 8 is equal to the greatest factor among the common factors of 7 and 8

Factors of 7: 1, 7

Factors of 8: 1, 2, 4, 8

So, GCF of 7 and 8 is 1

### Greatest Common Factor of 7 and 8 by Long Division

**Step 1:** Divide 8 by 7 and check the remainder. Here, the remainder is 8

**Step 2:** Make the remainder 8 as the divisor and the divisor 7 as the dividend and perform the long division again.

**Step 3:** Continue till you get the remainder as 0 and GCF of 7 and 8 will be the last divisor.

So, the greatest common factor of 7 and 8 is 1

Since GCF is one, 7 and 8 are co-prime numbers.