# Greatest Common Factor of 28 and 33

Greatest common factor (GCF) of 28 and 33 is **1**.

GCF(28,33) = 1

We will now calculate the prime factors of **28 and 33**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 28 and 33.

## Prime Factorization of 28

Prime factors of 28 are 2, 7. Prime factorization of **28** in exponential form is:

28 = 2^{2} × 7^{1}

## Prime Factorization of 33

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

33 = 3^{1} × 11^{1}

### Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14

### Factors of 33

List of positive integer factors of 33 that divides 28 without a remainder.

1, 3, 11

### Greatest Common Factor

We found the factors and prime factorization of 28 and 33. The biggest common factor number is the **GCF** number.

So the **greatest common factor 28 and 33** is **1**.

Also check out the Least Common Multiple of 28 and 33