What is the Greatest Common Factor of 28256 and 28272?

Greatest common factor (GCF) of 28256 and 28272 is 16.

GCF(28256,28272) = 16

We will now calculate the prime factors of 28256 and 28272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28256 and 28272.

How to find the GCF of 28256 and 28272?

We will first find the prime factorization of 28256 and 28272. After we will calculate the factors of 28256 and 28272 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 28272

Prime factors of 28272 are 2, 3, 19, 31. Prime factorization of 28272 in exponential form is:

28272 = 2⁴ × 3¹ × 19¹ × 31¹

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 28272

List of positive integer factors of 28272 that divides 28256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 31, 38, 48, 57, 62, 76, 93, 114, 124, 152, 186, 228, 248, 304, 372, 456, 496, 589, 744, 912, 1178, 1488, 1767, 2356, 3534, 4712, 7068, 9424, 14136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28256 and 28272. The biggest common factor number is the GCF number.
So the greatest common factor 28256 and 28272 is 16.

Also check out the Least Common Multiple of 28256 and 28272