# What is the GCF of 92 and 23?

GCF (Greatest Common Factor) of 92 and 23 is the largest possible number which divides both 92 and 23 exactly.

## Answer: GCF of 92 and 23 is 23

GCF of 92 and 23 is the highest number that divides 92 and 23 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 92 and 23 by the following methods.

- GCF of 92 and 23 by Long Division Method
- GCF of 92 and 23 by Listing the Common Factors Method

### Method 1: GCF of 92 and 23 by Long Division

The steps to find the GCF (92, 23) are shown below:

**Step 1:** Divide 92 with 23 and check the remainder.

**Step 2:** We can see that the obtain 0 as the remainder. The last divisor is our GCF of 92 and 23.

Since the last divisor in the division process is 23, the GCF of 92 and 23 is 23

### Method 2: GCF of 92 and 23 by Listing the Common Factors

Factors of 92: 1, 2, 4, 23, 46, 92

Factors of 23: 1, 23

Clearly, the common factors of 92 and 23 are 1 and 23

The greatest common factor is 23

So, GCF of 92 and 23 is 23

Irrespective of the method, the solution to our question GCF of 92 and 23 is the same.