# Greatest Common Factor of 24 and 40

Greatest common factor (GCF) of 24 and 40 is **8**.

GCF(24,40) = 8

We will now calculate the prime factors of **24 and 40**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 24 and 40.

## Prime Factorization of 24

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

24 = 2^{3} × 3^{1}

## Prime Factorization of 40

Prime factors of 40 are 2, 5. Prime factorization of **40** in exponential form is:

40 = 2^{3} × 5^{1}

### 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 40

List of positive integer factors of 40 that divides 24 without a remainder.

1, 2, 4, 5, 8, 10, 20

### Greatest Common Factor

We found the factors and prime factorization of 24 and 40. The biggest common factor number is the **GCF** number.

So the **greatest common factor 24 and 40** is **8**.

Also check out the Least Common Multiple of 24 and 40