What is the Greatest Common Factor of 16256 and 16267?

Greatest common factor (GCF) of 16256 and 16267 is 1.

GCF(16256,16267) = 1

We will now calculate the prime factors of 16256 and 16267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16256 and 16267.

How to find the GCF of 16256 and 16267?

We will first find the prime factorization of 16256 and 16267. After we will calculate the factors of 16256 and 16267 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 16267

Prime factors of 16267 are 16267. Prime factorization of 16267 in exponential form is:

16267 = 16267¹

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 16267

List of positive integer factors of 16267 that divides 16256 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16256 and 16267. The biggest common factor number is the GCF number.
So the greatest common factor 16256 and 16267 is 1.

Also check out the Least Common Multiple of 16256 and 16267