What is the Greatest Common Factor of 12238 and 12256?

Greatest common factor (GCF) of 12238 and 12256 is 2.

GCF(12238,12256) = 2

We will now calculate the prime factors of 12238 and 12256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12238 and 12256.

How to find the GCF of 12238 and 12256?

We will first find the prime factorization of 12238 and 12256. After we will calculate the factors of 12238 and 12256 and find the biggest common factor number .

Step-1: Prime Factorization of 12238

Prime factors of 12238 are 2, 29, 211. Prime factorization of 12238 in exponential form is:

12238 = 2¹ × 29¹ × 211¹

Step-2: Prime Factorization of 12256

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

12256 = 2⁵ × 383¹

Step-3: Factors of 12238

List of positive integer factors of 12238 that divides 12238 without a remainder.

1, 2, 29, 58, 211, 422, 6119

Step-4: Factors of 12256

List of positive integer factors of 12256 that divides 12238 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12238 and 12256. The biggest common factor number is the GCF number.
So the greatest common factor 12238 and 12256 is 2.

Also check out the Least Common Multiple of 12238 and 12256