What is the Greatest Common Factor of 12238 and 12252?

Greatest common factor (GCF) of 12238 and 12252 is 2.

GCF(12238,12252) = 2

We will now calculate the prime factors of 12238 and 12252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12238 and 12252.

How to find the GCF of 12238 and 12252?

We will first find the prime factorization of 12238 and 12252. After we will calculate the factors of 12238 and 12252 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 12252

Prime factors of 12252 are 2, 3, 1021. Prime factorization of 12252 in exponential form is:

12252 = 2² × 3¹ × 1021¹

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 12252

List of positive integer factors of 12252 that divides 12238 without a remainder.

1, 2, 3, 4, 6, 12, 1021, 2042, 3063, 4084, 6126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12238 and 12252. The biggest common factor number is the GCF number.
So the greatest common factor 12238 and 12252 is 2.

Also check out the Least Common Multiple of 12238 and 12252