# What is the GCF of 15 and 35?

Greatest Common Factor of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.

## Answer: GCF of 15 and 35 is 5

Two methods to find the GCF of 15 and 35 are explained below.

## Methods to find GCF of 15 and 35

We can find the GCF by the following methods

- Listing the common factors method
- Long division Method

### Method1: GCF of 15 and 35 by Listing the Common Factors

Here are the common factors of 86 and 15 : 1, 5

Greatest common factor is 5

GCF of 15 and 35 is 5

### Method2: GCF of 35 and 15 by Long Division Method

Step 1: Divide 35 by 15 and check the remainder.

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

Step 3: Continue till you get remainder as 0

Step 4: The divisor of the final step is the GCF of the given numbers.

As per the last step, the final divisor is 5 which is the GCF

GCF of 35 and 15 is 5

### Therefore, Thus,GCF of 35 and 15 is 5

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