# What is the GCF of 28, 48, and 64?

The largest possible number which divides the given numbers exactly without leaving any remainder is called the GCF (Greatest Common Factor).

## Answer: GCF of 28, 48, and 64 is 4

GCF of 28, 48, and 64 is the highest number that divides 28, 48, and 64 exactly leaving the remainder 0.

## Explanation:

We will explain the following methods to the highest common factor of 28, 48, and 64.

- GCF of 28, 48, and 64 by Prime Factorization
- GCF of 28, 48, and 64 by Listing the Common Factors

### Method 1: Calculate GCF of 28, 48, and 64 by Prime Factorization

Let us represent 28, 48, and 48 as a product of its prime factors.

Prime factorization of 28 is 2 × 2 × 7

Prime factorization of 48 is 2 × 2 × 2 × 2 × 3

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

The common factors in the prime factorization of 28, 48, and 64 are 2 and 2

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

So, GCF of 28, 48, and 64 is 2 × 2 = 4

### Method 2: Calculate GCF of 28, 48, and 64 by Listing the Common Factors

The factors of 28, 48, and 64 are shown below.

Clearly, the common factors of 28, 48, and 64 are 1, 2, and 4

The highest common factor of 28, 48, and 64 is 4

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