# What is the GCF of 64 and 72?

GCF (Greatest Common Factor) of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.

## Answer: GCF of 64 and 72 is 8

Let us see how to find the GCF of 64 and 72

## Explanation:

Two methods to find the GCF of 64 and 72 are explained below.

### Greatest Common Factor of 64 and 72 by Long Division

**Step 1:** Divide 72 by 64 and check the remainder. Here, the remainder is 8

**Step 2:** Make the remainder 8 as the divisor and the divisor 64 as the dividend and perform the long division again.

**Step 3:** Continue till you get the remainder as 0 and GCF of 64 and 80 will be the last divisor.

So, the greatest common factor of 64 and 72 is 8

### Greatest Common Factor of 64 and 72 by Listing the Common Factors

Follow the steps given below to find the GCF of 64 and 72 by Listing the Common Factors.

**Step 1:** List the factors of 64 and 72

**Step 2:** Identify the common factors of 64 and 72

**Step 3:** GCF of 64 and 72 is equal to the highest factor among the common factors of 64 and 72

So, GCF of 64 and 72 is 8

You can find the GCF in any of the above methods but the solution will be the same, that is, GCF of 64 and 72 is 8