# What is the GCF of 15 and 75?

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

## Answer: GCF of 15 and 75 is 15

GCF of 15 and 75 is the highest number that divides 15 and 75 exactly leaving the remainder 0.

## Explanation:

We can find the GCF by the following methods.

- GCF of 15 and 75 by Listing Common Factors
- GCF of 15 and 75 by Long Division

### Method 15: Find GCF of 15 and 75 by Listing Common Factors

Factors of 15: 1, 3, 5, 15

Factors of 75: 1, 3, 5, 15, 25, 75

The common factor of 15 and 75 is 15

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

So, GCF of 15 and 75 is 15

### Method 2: Find GCF of 15 and 75 by Long Division

The steps to find the GCF(15, 75) by long division are mentioned below.

**Step 1:** Divide 75 by 15 and check the remainder. We get the remainder of 15.

**Step 2:** Make the remainder of the above step 15 as the divisor and the divisor of the above step 15 as the dividend and perform the long division again.

**Step 3:** Continue till you get the remainder as 0 and the last divisor is the GCF of 15 and 75

The highest common factor of 15 and 75 is 15

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