# What is the GCF of 12 and 44?

GCF (Greatest Common Factor) of two numbers is the largest possible number that divides the two numbers exactly without leaving any remainder.

## Answer: GCF of 12 and 44 is 4

GCF of 12 and 44 is the highest number that divides 12 and 44 exactly leaving the remainder 0.

## Explanation:

We can find the GCF of 12 and 44 by the following two methods.

- Long Division method
- Listing Common factors Method

### Method 1: GCF of 12 and 44 by Long Division

**Step 1:** Divide 44 by 12 and check the remainder. Here, the remainder is 2.

**Step 2:** Make the remainder 2 as the divisor and the divisor 12 as the dividend and perform the long division again.

**Step 3:** Continue till you get the remainder as 0 and GCF (12, 44) will the last divisor of the division process.

So, the GCF of 12 and 44 is 4.

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

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

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

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

So, GCF of 12 and 44 is 4.

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