# What is the GCF of 52 and 68?

The highest common factor of two numbers is the largest whole number which is a factor of both.

## Answer: The GCF of 52 and 68 is 4

Let us see how to find the GCF of 52 and 68

## Explanation:

We can find the GCF by the following two methods:

- listing the factors
- long division method

### Method 1: GCF of 52 and 68 by listing the factors

As we see that the greatest factor that is common to the factors of 52 and factors of 68 is 4

Factors of 52: 1, 2, 4, 13, 26, 52

Factors of 68: 1, 2, 4, 17, 34, 68

Hence, GCF is 4

### Method 2: GCF by long division method

Step 1: Divide the largest number by the smallest number. i.e, 68 divided by 52

Step 2: Take divisor as new dividend and remainder as the new divisor, i.e. divide the first divisor by the first remainder.

Step 3: Proceed till the remainder is zero and the last divisor will be the **GCF **of the given numbers.