What is the Greatest Common Factor of 16256 and 16269?

Greatest common factor (GCF) of 16256 and 16269 is 1.

GCF(16256,16269) = 1

We will now calculate the prime factors of 16256 and 16269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16256 and 16269.

How to find the GCF of 16256 and 16269?

We will first find the prime factorization of 16256 and 16269. After we will calculate the factors of 16256 and 16269 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 16269

Prime factors of 16269 are 3, 11, 17, 29. Prime factorization of 16269 in exponential form is:

16269 = 3¹ × 11¹ × 17¹ × 29¹

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 16269

List of positive integer factors of 16269 that divides 16256 without a remainder.

1, 3, 11, 17, 29, 33, 51, 87, 187, 319, 493, 561, 957, 1479, 5423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16256 and 16269. The biggest common factor number is the GCF number.
So the greatest common factor 16256 and 16269 is 1.

Also check out the Least Common Multiple of 16256 and 16269