What is the Greatest Common Factor of 28256 and 28267?

Greatest common factor (GCF) of 28256 and 28267 is 1.

GCF(28256,28267) = 1

We will now calculate the prime factors of 28256 and 28267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28256 and 28267.

How to find the GCF of 28256 and 28267?

We will first find the prime factorization of 28256 and 28267. After we will calculate the factors of 28256 and 28267 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 28267

Prime factors of 28267 are 23, 1229. Prime factorization of 28267 in exponential form is:

28267 = 23¹ × 1229¹

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 28267

List of positive integer factors of 28267 that divides 28256 without a remainder.

1, 23, 1229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28256 and 28267. The biggest common factor number is the GCF number.
So the greatest common factor 28256 and 28267 is 1.

Also check out the Least Common Multiple of 28256 and 28267