# What is the GCF of 28 and 44?

The GCF (Greatest Common Factor) of two numbers is the highest possible number which divides both the numbers exactly. GCF of a and b is denoted by GCF(a, b).

## Answer: GCF of 28 and 44 is 4

GCF of 28 and 44 is the highest number that divides 28 and 44 exactly leaving the remainder 0.

## Explanation:

We can find the GCF by the following methods.

- GCF of 28 and 44 by Listing Common Factors
- GCF of 28 and 44 by Long Division

### Method 1: Find GCF of 28 and 44 by Listing Common Factors

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

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

The common factors of 28 and 44 are 1, 2 and 4.

Clearly, the highest common factor is 4.

So, GCF of 28 and 44 is 4.

### Method 2: Find GCF of 28 and 44 by Long Division

The steps to find the GCF(28, 44) by long division are mentioned below.

**Step 1:** Divide 44 by 28 and check the remainder. We get the remainder as 16.

**Step 2:** Make the remainder of the above step 16 as the divisor and the divisor of the above step 28 as the dividend and perform the long division again.

**Step 3:** Continuously follow step 2 till you get the remainder as 0.

The Greatest common factor of 28 and 44 is 4.

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