## Greatest Common Factor of 40 and 55

GCF(40, 55) = 5, Greatest common factor of 40 and 55 is 5. 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 40 and 55. **Greatest Common Factor by prime factorization method** and **Greatest Common Factor by matching factors method.**

### Greatest Common Factor of 40 and 55 by prime factorization method

We will first find the prime factorization of 40 and 55.

Prime Factorization of 40 is 1, 2, 2, 2, 5 and Prime Factorization of 55 is 1, 5, 11.

- Factorize\( (40) = \) \(1\times 2\times 2\times 2\times 5\)
- Factorize\( (55) = \) \(1\times 5\times 11\)

\(GCF(40, 55) = 1\times 5 = 5\).

### Greatest Common Factor of 40 and 55 by matching factors method

List of positive integers factors of 40 leaving a remainder zero is 1, 2, 4, 5, 8, 10, 20, 40

List of positive integers factors of 55 leaving a remainder zero is 1, 5, 11, 55

As you can see, 5 is the greatest and common number that 40 and 55 divides into.

So the greatest common factor 40 and 55 is 5.

\(GCF(40, 55) = 5\).