What is the Greatest Common Factor of 84256 and 84272?

Greatest common factor (GCF) of 84256 and 84272 is 16.

GCF(84256,84272) = 16

We will now calculate the prime factors of 84256 and 84272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84256 and 84272.

How to find the GCF of 84256 and 84272?

We will first find the prime factorization of 84256 and 84272. After we will calculate the factors of 84256 and 84272 and find the biggest common factor number .

Step-1: Prime Factorization of 84256

Prime factors of 84256 are 2, 2633. Prime factorization of 84256 in exponential form is:

84256 = 2⁵ × 2633¹

Step-2: Prime Factorization of 84272

Prime factors of 84272 are 2, 23, 229. Prime factorization of 84272 in exponential form is:

84272 = 2⁴ × 23¹ × 229¹

Step-3: Factors of 84256

List of positive integer factors of 84256 that divides 84256 without a remainder.

1, 2, 4, 8, 16, 32, 2633, 5266, 10532, 21064, 42128

Step-4: Factors of 84272

List of positive integer factors of 84272 that divides 84256 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 229, 368, 458, 916, 1832, 3664, 5267, 10534, 21068, 42136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84256 and 84272. The biggest common factor number is the GCF number.
So the greatest common factor 84256 and 84272 is 16.

Also check out the Least Common Multiple of 84256 and 84272