What is the Greatest Common Factor of 8256 and 8269?

Greatest common factor (GCF) of 8256 and 8269 is 1.

GCF(8256,8269) = 1

We will now calculate the prime factors of 8256 and 8269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8256 and 8269.

How to find the GCF of 8256 and 8269?

We will first find the prime factorization of 8256 and 8269. After we will calculate the factors of 8256 and 8269 and find the biggest common factor number .

Step-1: Prime Factorization of 8256

Prime factors of 8256 are 2, 3, 43. Prime factorization of 8256 in exponential form is:

8256 = 2⁶ × 3¹ × 43¹

Step-2: Prime Factorization of 8269

Prime factors of 8269 are 8269. Prime factorization of 8269 in exponential form is:

8269 = 8269¹

Step-3: Factors of 8256

List of positive integer factors of 8256 that divides 8256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128

Step-4: Factors of 8269

List of positive integer factors of 8269 that divides 8256 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8256 and 8269. The biggest common factor number is the GCF number.
So the greatest common factor 8256 and 8269 is 1.

Also check out the Least Common Multiple of 8256 and 8269