# What is the GCF of 27 and 64?

GCF (Greatest Common Factor) of 27 and 64 is the largest possible number which divides both 27 and 64 exactly.

## Answer: GCF of 27 and 64 is 1

GCF of 24 and 66 is the highest number that divides 24 and 66 exactly leaving the remainder 0

## Explanation:

The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

We can find the GCF of 27 and 64 by the following methods.

- GCF of 27 and 64 by Listing the Common Factors Method
- GCF of 27 and 64 by Prime Factorization Method

### Method 1: GCF of 27 and 64 by Listing the Common Factors

Common Factor of 27 and 64 is 1

There is no other common factor other than 1

This means the GCF of 27 and 64 is 1

### Method 2: GCF of 27 and 64 by Prime Factorization

Let us represent 27 and 64 as a product of its prime factors.

Prime factorization of 27 is: 3 × 3 × 3

Prime factorization of 64 is: 2 × 2 × 2 × 2 × 2 × 2

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

The are no common prime factors between 27 and 64, hence the GCF of 27 and 64 is 1

You can find the GCF in any of the above methods but the solution will be the same.