What is the Greatest Common Factor of 12238 and 12254?

Greatest common factor (GCF) of 12238 and 12254 is 2.

GCF(12238,12254) = 2

We will now calculate the prime factors of 12238 and 12254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12238 and 12254.

How to find the GCF of 12238 and 12254?

We will first find the prime factorization of 12238 and 12254. After we will calculate the factors of 12238 and 12254 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 12254

Prime factors of 12254 are 2, 11, 557. Prime factorization of 12254 in exponential form is:

12254 = 2¹ × 11¹ × 557¹

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 12254

List of positive integer factors of 12254 that divides 12238 without a remainder.

1, 2, 11, 22, 557, 1114, 6127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12238 and 12254. The biggest common factor number is the GCF number.
So the greatest common factor 12238 and 12254 is 2.

Also check out the Least Common Multiple of 12238 and 12254