# Greatest Common Factor of 18 and 45

Greatest common factor (GCF) of 18 and 45 is **9**.

GCF(18,45) = 9

We will now calculate the prime factors of **18 and 45**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 18 and 45.

## Prime Factorization of 18

Prime factors of 18 are 2, 3. Prime factorization of **18** in exponential form is:

18 = 2^{1} × 3^{2}

## Prime Factorization of 45

Prime factors of 45 are 3, 5. Prime factorization of **45** in exponential form is:

45 = 3^{2} × 5^{1}

### Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9

### Factors of 45

List of positive integer factors of 45 that divides 18 without a remainder.

1, 3, 5, 9, 15

### Greatest Common Factor

We found the factors and prime factorization of 18 and 45. The biggest common factor number is the **GCF** number.

So the **greatest common factor 18 and 45** is **9**.

Also check out the Least Common Multiple of 18 and 45

## Recent Comments

I like the app but,you guys need to fix only two numbers because sometimes it may be three.