# Greatest Common Factor of 24 and 38

Greatest common factor (GCF) of 24 and 38 is **2**.

GCF(24,38) = 2

We will now calculate the prime factors of **24 and 38**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 24 and 38.

## 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 38

Prime factors of 38 are 2, 19. Prime factorization of **38** in exponential form is:

38 = 2^{1} × 19^{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 38

List of positive integer factors of 38 that divides 24 without a remainder.

1, 2, 19

### Greatest Common Factor

We found the factors and prime factorization of 24 and 38. The biggest common factor number is the **GCF** number.

So the **greatest common factor 24 and 38** is **2**.

Also check out the Least Common Multiple of 24 and 38

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