## Greatest Common Factor of 24 and 45

GCF(24, 45) = 3, Greatest common factor of 24 and 45 is 3. Greatest Common Factor or Greatest Common Divisor of two numbers is the largest integer by which both the numbers can be divided. There are two different methods to calculate Greatest Common Factor of 24 and 45. **Greatest Common Factor by prime factorization method** and **Greatest Common Factor by matching factors method.**

### Greatest Common Factor of 24 and 45 by prime factorization method

We will first find the prime factorization of 24 and 45.

Prime Factorization of 24 is 1, 2, 2, 2, 3 and Prime Factorization of 45 is 1, 3, 3, 5.

- Factorize\( (24) = \) \(1\times 2\times 2\times 2\times 3\)
- Factorize\( (45) = \) \(1\times 3\times 3\times 5\)

\(GCF(24, 45) = 1\times 3 = 3\).

### Greatest Common Factor of 24 and 45 by matching factors method

List of positive integers factors of 24 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 12, 24

List of positive integers factors of 45 leaving a remainder zero is 1, 3, 5, 9, 15, 45

As you can see, 3 is the greatest and common number that 24 and 45 divides into.

So the greatest common factor 24 and 45 is 3.

\(GCF(24, 45) = 3\).