# Greatest Common Factor of 16 and 32

Greatest common factor (GCF) of 16 and 32 is **16**.

GCF(16,32) = 16

We will now calculate the prime factors of **16 and 32**, than find the greatest common factor *(greatest common divisor (gcd))* of the numbers by matching the biggest common factor of 16 and 32.

## Prime Factorization of 16

Prime factors of 16 are 2. Prime factorization of **16** in exponential form is:

16 = 2^{4}

## Prime Factorization of 32

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

32 = 2^{5}

### Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1, 2, 4, 8

### Factors of 32

List of positive integer factors of 32 that divides 16 without a remainder.

1, 2, 4, 8, 16

### Greatest Common Factor

We found the factors and prime factorization of 16 and 32. The biggest common factor number is the **GCF** number.

So the **greatest common factor 16 and 32** is **16**.

Also check out the Least Common Multiple of 16 and 32

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