What is the Greatest Common Factor of 32 and 6?

Greatest common factor (GCF) of 32 and 6 is 2.

GCF(32,6) = 2

We will now calculate the prime factors of 32 and 6, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32 and 6.

How to find the GCF of 32 and 6?

We will first find the prime factorization of 32 and 6. After we will calculate the factors of 32 and 6 and find the biggest common factor number .

Step-1: Prime Factorization of 32

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

32 = 2⁵

Step-2: Prime Factorization of 6

Prime factors of 6 are 2, 3. Prime factorization of 6 in exponential form is:

6 = 2¹ × 3¹

Step-3: Factors of 32

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

1, 2, 4, 8, 16

Step-4: Factors of 6

List of positive integer factors of 6 that divides 32 without a remainder.

1, 2, 3

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32 and 6. The biggest common factor number is the GCF number.
So the greatest common factor 32 and 6 is 2.

Also check out the Least Common Multiple of 32 and 6