# Greatest Common Factor of 24 and 60

Greatest common factor (GCF) of 24 and 60 is 12.

GCF(24,60) = 12

We will now calculate the prime factors of 24 and 60, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24 and 60.

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 60

Prime factors of 60 are 2, 3, 5. Prime factorization of 60 in exponential form is:

60 = 22 × 31 × 51

### 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 60

List of positive integer factors of 60 that divides 24 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30

### Greatest Common Factor

We found the factors and prime factorization of 24 and 60. The biggest common factor number is the GCF number.
So the greatest common factor 24 and 60 is 12.

Also check out the Least Common Multiple of 24 and 60

#### Related Greatest Common Factors of 60

Sapphire 2018-11-15 14:04:25

Thank you very much, this gave me a lot of help on my homework. The only problem I have to say is that I wish that there was an ability to put 3 numbers to generate. But thanks anyways!!!

Awesome for easy math.

liana nguyễn 2017-10-23 05:30:00

good and nice