What is the Greatest Common Factor of 243 and 256?

Greatest common factor (GCF) of 243 and 256 is 1.

GCF(243,256) = 1

We will now calculate the prime factors of 243 and 256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 243 and 256.

How to find the GCF of 243 and 256?

We will first find the prime factorization of 243 and 256. After we will calculate the factors of 243 and 256 and find the biggest common factor number .

Step-1: Prime Factorization of 243

Prime factors of 243 are 3. Prime factorization of 243 in exponential form is:

243 = 3⁵

Step-2: Prime Factorization of 256

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

256 = 2⁸

Step-3: Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81

Step-4: Factors of 256

List of positive integer factors of 256 that divides 243 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 243 and 256. The biggest common factor number is the GCF number.
So the greatest common factor 243 and 256 is 1.

Also check out the Least Common Multiple of 243 and 256