# What is the GCF of 26 and 52?

GCF (Greatest Common Factor) of 26 and 52 is the largest possible number which divides both 26 and 52 exactly.

## Answer: GCF of 26 and 52 is 26

GCF of 26 and 52 is the highest number that divides 26 and 52 exactly leaving the remainder 0.

**Explanation:**

The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

We can find the GCF of 26 and 52 by the following methods.

- GCF of 26 and 52 by Listing the Common Factors
- GCF of 26 and 52 by Long Division

### Method 1: GCF of 26 and 52 by Listing the Common Factors

List the factors of 26 and 52 and identify the common factors. The greatest among them is the GCF of 26 and 52

Factors of 26: 1, 2, 13, 26

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

Common Factors of 26 and 52: 1, 2, 13, 26

We can clearly see from above that the highest common factors between 26 and 52 is 26, so the GCF of 26 and 52 is 26

### Method 2: GCF of 26 and 52 by Long Division

**Step 1:** Divide 52 with 26 and check the remainder.

**Step 2:** We can see that the obtain 0 as the remainder. The divisor is the GCF of 26 and 52.

You can find the GCF of 26 and 52 in any of the above methods but the solution will be the same.