What is the Greatest Common Factor of 256 and 263?

Greatest common factor (GCF) of 256 and 263 is 1.

GCF(256,263) = 1

We will now calculate the prime factors of 256 and 263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 256 and 263.

How to find the GCF of 256 and 263?

We will first find the prime factorization of 256 and 263. After we will calculate the factors of 256 and 263 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 263

Prime factors of 263 are 263. Prime factorization of 263 in exponential form is:

263 = 263¹

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 263

List of positive integer factors of 263 that divides 256 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 256 and 263. The biggest common factor number is the GCF number.
So the greatest common factor 256 and 263 is 1.

Also check out the Least Common Multiple of 256 and 263