What is the Greatest Common Factor of 28256 and 28264?

Greatest common factor (GCF) of 28256 and 28264 is 8.

GCF(28256,28264) = 8

We will now calculate the prime factors of 28256 and 28264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28256 and 28264.

How to find the GCF of 28256 and 28264?

We will first find the prime factorization of 28256 and 28264. After we will calculate the factors of 28256 and 28264 and find the biggest common factor number .

Step-1: Prime Factorization of 28256

Prime factors of 28256 are 2, 883. Prime factorization of 28256 in exponential form is:

28256 = 2⁵ × 883¹

Step-2: Prime Factorization of 28264

Prime factors of 28264 are 2, 3533. Prime factorization of 28264 in exponential form is:

28264 = 2³ × 3533¹

Step-3: Factors of 28256

List of positive integer factors of 28256 that divides 28256 without a remainder.

1, 2, 4, 8, 16, 32, 883, 1766, 3532, 7064, 14128

Step-4: Factors of 28264

List of positive integer factors of 28264 that divides 28256 without a remainder.

1, 2, 4, 8, 3533, 7066, 14132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28256 and 28264. The biggest common factor number is the GCF number.
So the greatest common factor 28256 and 28264 is 8.

Also check out the Least Common Multiple of 28256 and 28264