What is the Greatest Common Factor of 32 and 468?

Greatest common factor (GCF) of 32 and 468 is 4.

GCF(32,468) = 4

We will now calculate the prime factors of 32 and 468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32 and 468.

How to find the GCF of 32 and 468?

We will first find the prime factorization of 32 and 468. After we will calculate the factors of 32 and 468 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 468

Prime factors of 468 are 2, 3, 13. Prime factorization of 468 in exponential form is:

468 = 2² × 3² × 13¹

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 468

List of positive integer factors of 468 that divides 32 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32 and 468. The biggest common factor number is the GCF number.
So the greatest common factor 32 and 468 is 4.

Also check out the Least Common Multiple of 32 and 468