What is the Greatest Common Factor of 12256 and 12266?

Greatest common factor (GCF) of 12256 and 12266 is 2.

GCF(12256,12266) = 2

We will now calculate the prime factors of 12256 and 12266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12256 and 12266.

How to find the GCF of 12256 and 12266?

We will first find the prime factorization of 12256 and 12266. After we will calculate the factors of 12256 and 12266 and find the biggest common factor number .

Step-1: Prime Factorization of 12256

Prime factors of 12256 are 2, 383. Prime factorization of 12256 in exponential form is:

12256 = 2⁵ × 383¹

Step-2: Prime Factorization of 12266

Prime factors of 12266 are 2, 6133. Prime factorization of 12266 in exponential form is:

12266 = 2¹ × 6133¹

Step-3: Factors of 12256

List of positive integer factors of 12256 that divides 12256 without a remainder.

1, 2, 4, 8, 16, 32, 383, 766, 1532, 3064, 6128

Step-4: Factors of 12266

List of positive integer factors of 12266 that divides 12256 without a remainder.

1, 2, 6133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12256 and 12266. The biggest common factor number is the GCF number.
So the greatest common factor 12256 and 12266 is 2.

Also check out the Least Common Multiple of 12256 and 12266