What is the Greatest Common Factor of 32588 and 32596?

Greatest common factor (GCF) of 32588 and 32596 is 4.

GCF(32588,32596) = 4

We will now calculate the prime factors of 32588 and 32596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32588 and 32596.

How to find the GCF of 32588 and 32596?

We will first find the prime factorization of 32588 and 32596. After we will calculate the factors of 32588 and 32596 and find the biggest common factor number .

Step-1: Prime Factorization of 32588

Prime factors of 32588 are 2, 8147. Prime factorization of 32588 in exponential form is:

32588 = 2² × 8147¹

Step-2: Prime Factorization of 32596

Prime factors of 32596 are 2, 29, 281. Prime factorization of 32596 in exponential form is:

32596 = 2² × 29¹ × 281¹

Step-3: Factors of 32588

List of positive integer factors of 32588 that divides 32588 without a remainder.

1, 2, 4, 8147, 16294

Step-4: Factors of 32596

List of positive integer factors of 32596 that divides 32588 without a remainder.

1, 2, 4, 29, 58, 116, 281, 562, 1124, 8149, 16298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32588 and 32596. The biggest common factor number is the GCF number.
So the greatest common factor 32588 and 32596 is 4.

Also check out the Least Common Multiple of 32588 and 32596