# Greatest Common Factor of 12 and 32

Greatest common factor (GCF) of 12 and 32 is 4.

GCF(12,32) = 4

We will now calculate the prime factors of 12 and 32, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12 and 32.

GCF Calculator and

## Prime Factorization of 12

Prime factors of 12 are 2, 3. Prime factorization of 12 in exponential form is:

12 = 22 × 31

## Prime Factorization of 32

Prime factors of 32 are 2. Prime factorization of 32 in exponential form is:

32 = 25

### Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6

### Factors of 32

List of positive integer factors of 32 that divides 12 without a remainder.

1, 2, 4, 8, 16

### Greatest Common Factor

We found the factors and prime factorization of 12 and 32. The biggest common factor number is the GCF number.
So the greatest common factor 12 and 32 is 4.

Also check out the Least Common Multiple of 12 and 32

#### Related Greatest Common Factors of 32

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