# Greatest Common Factor of 44 and 54

Greatest common factor (GCF) of 44 and 54 is **2**.

GCF(44,54) = 2

We will now calculate the prime factors of **44 and 54**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 44 and 54.

## Prime Factorization of 44

Prime factors of 44 are 2, 11. Prime factorization of **44** in exponential form is:

44 = 2^{2} × 11^{1}

## Prime Factorization of 54

Prime factors of 54 are 2, 3. Prime factorization of **54** in exponential form is:

54 = 2^{1} × 3^{3}

### Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22

### Factors of 54

List of positive integer factors of 54 that divides 44 without a remainder.

1, 2, 3, 6, 9, 18, 27

### Greatest Common Factor

We found the factors and prime factorization of 44 and 54. The biggest common factor number is the **GCF** number.

So the **greatest common factor 44 and 54** is **2**.

Also check out the Least Common Multiple of 44 and 54