# What is the GCF of 24 and 66?

GCF of 24 and 66 is the greatest possible number which divides both 24 and 66 exactly.

## Answer: GCF of 24 and 66 is 6

GCF of 24 and 66 is the highest number that divides 24 and 66 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 by the following methods.

- GCF of 24 and 66 by Listing the Common Factors
- GCF of 24 and 66 by Prime Factorization

### Method 1: GCF of 24 and 66 by Listing the Common Factors

Let us list the factors and identify the greatest among the common factors of 24 and 66.

Common Factors of 24 and 66: 1, 2, 3, 6

Since the greatest common factor is 6, the GCF of 24 and 66 is 6

### Method 2: GCF of 24 and 66 by Prime Factorization

Prime factorization of 24: 2 × 2 × 2 × 3

Prime factorization of 66: 2 × 3 × 11

The product of all common prime factors is the GCF of 24 and 66

Here, the product of the common prime factors is 6 and hence GCF(24, 66) is 6