What is the Greatest Common Factor of 12225 and 12231?

Greatest common factor (GCF) of 12225 and 12231 is 3.

GCF(12225,12231) = 3

We will now calculate the prime factors of 12225 and 12231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12225 and 12231.

How to find the GCF of 12225 and 12231?

We will first find the prime factorization of 12225 and 12231. After we will calculate the factors of 12225 and 12231 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 12231

Prime factors of 12231 are 3, 151. Prime factorization of 12231 in exponential form is:

12231 = 3⁴ × 151¹

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 12231

List of positive integer factors of 12231 that divides 12225 without a remainder.

1, 3, 9, 27, 81, 151, 453, 1359, 4077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12225 and 12231. The biggest common factor number is the GCF number.
So the greatest common factor 12225 and 12231 is 3.

Also check out the Least Common Multiple of 12225 and 12231