What is the Greatest Common Factor of 256 and 269?

Greatest common factor (GCF) of 256 and 269 is 1.

GCF(256,269) = 1

We will now calculate the prime factors of 256 and 269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 256 and 269.

How to find the GCF of 256 and 269?

We will first find the prime factorization of 256 and 269. After we will calculate the factors of 256 and 269 and find the biggest common factor number .

Step-1: Prime Factorization of 256

Prime factors of 256 are 2. Prime factorization of 256 in exponential form is:

256 = 2⁸

Step-2: Prime Factorization of 269

Prime factors of 269 are 269. Prime factorization of 269 in exponential form is:

269 = 269¹

Step-3: Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Step-4: Factors of 269

List of positive integer factors of 269 that divides 256 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 256 and 269. The biggest common factor number is the GCF number.
So the greatest common factor 256 and 269 is 1.

Also check out the Least Common Multiple of 256 and 269