# What is the GCF of 24 and 90?

GCF of two numbers 24 and 90 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 24 and 90 is 6

Lets us see how to find the GCF of 24 and 90.

## Explanation:

The greatest common factor(GCF) of two numbers is the largest possible number which divides both the numbers exactly without any remainder. Let us find the GCF of the numbers in the commonly used methods.

## Methods to Find GCF of 24 and 90

- Listing the common factors method
- Long division Method

### GCF of 24 and 90 by Listing the Common Factors

In this method, we identify the list of common factors from the list of all the factors of 24 and 90. The highest among the common factors is the GCF of 24 and 90.

Factors of 24 are **1, 2, 3, **4**, 6,** 12, and 24.

Factors of 90 are **1,** **2,** **3,** 5, **6,** 9, 10, 15, 18, 30, 45, and 90

Common Factors of 24 and 90: 1, 2, 3, 6.

Greatest common factor= 6

GCF of 24 and 90 is 6

### GCF of 24 and 90 by Long Division

Step 1: Divide 90 by 24 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 the remainder as 0, the last divisor would be our required GCF.

Irrespective of the method, GCF of 24 and 90 remains the same.