# Greatest Common Factor of 48 and 144

Greatest common factor (GCF) of 48 and 144 is 48.

GCF(48,144) = 48

We will now calculate the prime factors of 48 and 144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48 and 144.

GCF Calculator and

## Prime Factorization of 48

Prime factors of 48 are 2, 3. Prime factorization of 48 in exponential form is:

48 = 24 × 31

## Prime Factorization of 144

Prime factors of 144 are 2, 3. Prime factorization of 144 in exponential form is:

144 = 24 × 32

### Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24

### Factors of 144

List of positive integer factors of 144 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72

### Greatest Common Factor

We found the factors and prime factorization of 48 and 144. The biggest common factor number is the GCF number.
So the greatest common factor 48 and 144 is 48.

Also check out the Least Common Multiple of 48 and 144