# Greatest Common Factor of 24 and 144

Greatest common factor (GCF) of 24 and 144 is 24.

GCF(24,144) = 24

We will now calculate the prime factors of 24 and 144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24 and 144.

GCF Calculator and

## Prime Factorization of 24

Prime factors of 24 are 2, 3. Prime factorization of 24 in exponential form is:

24 = 23 × 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 24

List of positive integer factors of 24 that divides 24 without a remainder.

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

### Factors of 144

List of positive integer factors of 144 that divides 24 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 24 and 144. The biggest common factor number is the GCF number.
So the greatest common factor 24 and 144 is 24.

Also check out the Least Common Multiple of 24 and 144