What is the Greatest Common Factor of 12225 and 12238?

Greatest common factor (GCF) of 12225 and 12238 is 1.

GCF(12225,12238) = 1

We will now calculate the prime factors of 12225 and 12238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12225 and 12238.

How to find the GCF of 12225 and 12238?

We will first find the prime factorization of 12225 and 12238. After we will calculate the factors of 12225 and 12238 and find the biggest common factor number .

Step-1: Prime Factorization of 12225

Prime factors of 12225 are 3, 5, 163. Prime factorization of 12225 in exponential form is:

12225 = 3¹ × 5² × 163¹

Step-2: 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-3: Factors of 12225

List of positive integer factors of 12225 that divides 12225 without a remainder.

1, 3, 5, 15, 25, 75, 163, 489, 815, 2445, 4075

Step-4: Factors of 12238

List of positive integer factors of 12238 that divides 12225 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12225 and 12238. The biggest common factor number is the GCF number.
So the greatest common factor 12225 and 12238 is 1.

Also check out the Least Common Multiple of 12225 and 12238