# Greatest Common Factor of 33 and 39

Greatest common factor (GCF) of 33 and 39 is **3**.

GCF(33,39) = 3

We will now calculate the prime factors of **33 and 39**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 33 and 39.

## Prime Factorization of 33

Prime factors of 33 are 3, 11. Prime factorization of **33** in exponential form is:

33 = 3^{1} × 11^{1}

## Prime Factorization of 39

Prime factors of 39 are 3, 13. Prime factorization of **39** in exponential form is:

39 = 3^{1} × 13^{1}

### Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1, 3, 11

### Factors of 39

List of positive integer factors of 39 that divides 33 without a remainder.

1, 3, 13

### Greatest Common Factor

We found the factors and prime factorization of 33 and 39. The biggest common factor number is the **GCF** number.

So the **greatest common factor 33 and 39** is **3**.

Also check out the Least Common Multiple of 33 and 39