What is the Greatest Common Factor of 28256 and 28271?

Greatest common factor (GCF) of 28256 and 28271 is 1.

GCF(28256,28271) = 1

We will now calculate the prime factors of 28256 and 28271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28256 and 28271.

How to find the GCF of 28256 and 28271?

We will first find the prime factorization of 28256 and 28271. After we will calculate the factors of 28256 and 28271 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 28271

Prime factors of 28271 are 17, 1663. Prime factorization of 28271 in exponential form is:

28271 = 17¹ × 1663¹

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 28271

List of positive integer factors of 28271 that divides 28256 without a remainder.

1, 17, 1663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28256 and 28271. The biggest common factor number is the GCF number.
So the greatest common factor 28256 and 28271 is 1.

Also check out the Least Common Multiple of 28256 and 28271