# What is the GCF of 44, 12, and 28?

The largest possible number which divides the numbers exactly is the GCF of 44, 12, and 28.

## Answer: GCF of 44, 12, and 28 is 4

Let us find the GCF of 44, 12, and 28.

## Explanation:

The greatest common factor of two numbers is the largest possible number which divides both the numbers exactly without any remainder.

- GCF of 44, 12 and 28 by Prime Factorization
- GCF of 44, 12, and 28 by Listing the Common Factors

### Method 1: GCF of 44, 12 and 28 by Prime Factorization

In this method, we represent 44, 12, and 28 as a product of its prime factors.

Common factors = 2, 2

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

GCF is 2 × 2 = 4

### Method 2: GCF of 44, 12, and 28 by Listing the Common Factors

In this method, we list all the factors of 44, 12, and 28, then identify the common factors.

Factors of 44: **1,** **2,** **4,** 11, 22, 44

Factors of 12: **1,** **2,** 3, **4,** 6, 12

Factors of 28: **1,** **2,** **4,** 7, 14, 28

The highest among the common factors is the GCF of 44, 12, and 28

Common Factors of 44, 12, and 28: 1, 2, 4.

The greatest common factor (GCF) of 44, 12, and 28 is 4

Irrespective of the method, the GCF of 44, 12, and 28 is the same as 4.