What is the Greatest Common Factor of 28240 and 28256?

Greatest common factor (GCF) of 28240 and 28256 is 16.

GCF(28240,28256) = 16

We will now calculate the prime factors of 28240 and 28256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28240 and 28256.

How to find the GCF of 28240 and 28256?

We will first find the prime factorization of 28240 and 28256. After we will calculate the factors of 28240 and 28256 and find the biggest common factor number .

Step-1: Prime Factorization of 28240

Prime factors of 28240 are 2, 5, 353. Prime factorization of 28240 in exponential form is:

28240 = 2⁴ × 5¹ × 353¹

Step-2: Prime Factorization of 28256

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

28256 = 2⁵ × 883¹

Step-3: Factors of 28240

List of positive integer factors of 28240 that divides 28240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 353, 706, 1412, 1765, 2824, 3530, 5648, 7060, 14120

Step-4: Factors of 28256

List of positive integer factors of 28256 that divides 28240 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28240 and 28256. The biggest common factor number is the GCF number.
So the greatest common factor 28240 and 28256 is 16.

Also check out the Least Common Multiple of 28240 and 28256