What is the Greatest Common Factor of 32608 and 32612?

Greatest common factor (GCF) of 32608 and 32612 is 4.

GCF(32608,32612) = 4

We will now calculate the prime factors of 32608 and 32612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32608 and 32612.

How to find the GCF of 32608 and 32612?

We will first find the prime factorization of 32608 and 32612. After we will calculate the factors of 32608 and 32612 and find the biggest common factor number .

Step-1: Prime Factorization of 32608

Prime factors of 32608 are 2, 1019. Prime factorization of 32608 in exponential form is:

32608 = 2⁵ × 1019¹

Step-2: Prime Factorization of 32612

Prime factors of 32612 are 2, 31, 263. Prime factorization of 32612 in exponential form is:

32612 = 2² × 31¹ × 263¹

Step-3: Factors of 32608

List of positive integer factors of 32608 that divides 32608 without a remainder.

1, 2, 4, 8, 16, 32, 1019, 2038, 4076, 8152, 16304

Step-4: Factors of 32612

List of positive integer factors of 32612 that divides 32608 without a remainder.

1, 2, 4, 31, 62, 124, 263, 526, 1052, 8153, 16306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32608 and 32612. The biggest common factor number is the GCF number.
So the greatest common factor 32608 and 32612 is 4.

Also check out the Least Common Multiple of 32608 and 32612