What is the Greatest Common Factor of 16256 and 16272?

Greatest common factor (GCF) of 16256 and 16272 is 16.

GCF(16256,16272) = 16

We will now calculate the prime factors of 16256 and 16272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16256 and 16272.

How to find the GCF of 16256 and 16272?

We will first find the prime factorization of 16256 and 16272. After we will calculate the factors of 16256 and 16272 and find the biggest common factor number .

Step-1: Prime Factorization of 16256

Prime factors of 16256 are 2, 127. Prime factorization of 16256 in exponential form is:

16256 = 2⁷ × 127¹

Step-2: Prime Factorization of 16272

Prime factors of 16272 are 2, 3, 113. Prime factorization of 16272 in exponential form is:

16272 = 2⁴ × 3² × 113¹

Step-3: Factors of 16256

List of positive integer factors of 16256 that divides 16256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 127, 128, 254, 508, 1016, 2032, 4064, 8128

Step-4: Factors of 16272

List of positive integer factors of 16272 that divides 16256 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 113, 144, 226, 339, 452, 678, 904, 1017, 1356, 1808, 2034, 2712, 4068, 5424, 8136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16256 and 16272. The biggest common factor number is the GCF number.
So the greatest common factor 16256 and 16272 is 16.

Also check out the Least Common Multiple of 16256 and 16272