What is the Greatest Common Factor of 28596 and 28608?

Greatest common factor (GCF) of 28596 and 28608 is 12.

GCF(28596,28608) = 12

We will now calculate the prime factors of 28596 and 28608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28596 and 28608.

How to find the GCF of 28596 and 28608?

We will first find the prime factorization of 28596 and 28608. After we will calculate the factors of 28596 and 28608 and find the biggest common factor number .

Step-1: Prime Factorization of 28596

Prime factors of 28596 are 2, 3, 2383. Prime factorization of 28596 in exponential form is:

28596 = 2² × 3¹ × 2383¹

Step-2: Prime Factorization of 28608

Prime factors of 28608 are 2, 3, 149. Prime factorization of 28608 in exponential form is:

28608 = 2⁶ × 3¹ × 149¹

Step-3: Factors of 28596

List of positive integer factors of 28596 that divides 28596 without a remainder.

1, 2, 3, 4, 6, 12, 2383, 4766, 7149, 9532, 14298

Step-4: Factors of 28608

List of positive integer factors of 28608 that divides 28596 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 149, 192, 298, 447, 596, 894, 1192, 1788, 2384, 3576, 4768, 7152, 9536, 14304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28596 and 28608. The biggest common factor number is the GCF number.
So the greatest common factor 28596 and 28608 is 12.

Also check out the Least Common Multiple of 28596 and 28608