# What is the GCF of 15 and 36?

GCF or the greatest common divisor of two numbers 15 and 36 is the largest possible number that divides both the numbers exactly.

## Answer: GCF of 15 and 36 is 3

Let us see how to find the GCF of 15 and 36.

## Explanation

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

We can find the GCF of the numbers in many ways the commonly used methods are listed below.

## Ways to Find GCF of 15 and 36

- Listing the common factors method
- Long division method

### Method 1: GCF of 15 and 36 by Listing the Common Factors

The process of finding GCF in this method is:

- we list all the factors of 15 and 36.
- Identify the common factors.
- The highest among the common factors is the GCF of 15 and 36.

**1,** **3,** 5, 15 are the factors of 15.

**1,** 2, **3,** 4, 6, 9, 12, 18, 36 are the factors of 36.

Common Factors of 15 and 36: 1, 3

The greatest common factor of 15 and 36 is 3

### Method 2: GCF of 15 and 36 by Long Division

Step 1: Divide 36 by 15 and check the remainder.

Step 2: Make the remainder of the above step(6) as the divisor and the divisor of the above step as the dividend(15) and perform the long division again.

Step 3: Repeat the process and Continue till you get the remainder as 0.

GCF of any given set of numbers is unique and is independent of the method we choose for.