What is the Greatest Common Factor of 12270 and 12285?

Greatest common factor (GCF) of 12270 and 12285 is 15.

GCF(12270,12285) = 15

We will now calculate the prime factors of 12270 and 12285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12270 and 12285.

How to find the GCF of 12270 and 12285?

We will first find the prime factorization of 12270 and 12285. After we will calculate the factors of 12270 and 12285 and find the biggest common factor number .

Step-1: Prime Factorization of 12270

Prime factors of 12270 are 2, 3, 5, 409. Prime factorization of 12270 in exponential form is:

12270 = 2¹ × 3¹ × 5¹ × 409¹

Step-2: Prime Factorization of 12285

Prime factors of 12285 are 3, 5, 7, 13. Prime factorization of 12285 in exponential form is:

12285 = 3³ × 5¹ × 7¹ × 13¹

Step-3: Factors of 12270

List of positive integer factors of 12270 that divides 12270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 409, 818, 1227, 2045, 2454, 4090, 6135

Step-4: Factors of 12285

List of positive integer factors of 12285 that divides 12270 without a remainder.

1, 3, 5, 7, 9, 13, 15, 21, 27, 35, 39, 45, 63, 65, 91, 105, 117, 135, 189, 195, 273, 315, 351, 455, 585, 819, 945, 1365, 1755, 2457, 4095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12270 and 12285. The biggest common factor number is the GCF number.
So the greatest common factor 12270 and 12285 is 15.

Also check out the Least Common Multiple of 12270 and 12285