What is the Greatest Common Factor of 12210 and 12225?

Greatest common factor (GCF) of 12210 and 12225 is 15.

GCF(12210,12225) = 15

We will now calculate the prime factors of 12210 and 12225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12210 and 12225.

How to find the GCF of 12210 and 12225?

We will first find the prime factorization of 12210 and 12225. After we will calculate the factors of 12210 and 12225 and find the biggest common factor number .

Step-1: Prime Factorization of 12210

Prime factors of 12210 are 2, 3, 5, 11, 37. Prime factorization of 12210 in exponential form is:

12210 = 2¹ × 3¹ × 5¹ × 11¹ × 37¹

Step-2: 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-3: Factors of 12210

List of positive integer factors of 12210 that divides 12210 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 37, 55, 66, 74, 110, 111, 165, 185, 222, 330, 370, 407, 555, 814, 1110, 1221, 2035, 2442, 4070, 6105

Step-4: Factors of 12225

List of positive integer factors of 12225 that divides 12210 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12210 and 12225. The biggest common factor number is the GCF number.
So the greatest common factor 12210 and 12225 is 15.

Also check out the Least Common Multiple of 12210 and 12225