What is the Greatest Common Factor of 12285 and 12294?

Greatest common factor (GCF) of 12285 and 12294 is 9.

GCF(12285,12294) = 9

We will now calculate the prime factors of 12285 and 12294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12285 and 12294.

How to find the GCF of 12285 and 12294?

We will first find the prime factorization of 12285 and 12294. After we will calculate the factors of 12285 and 12294 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12294

Prime factors of 12294 are 2, 3, 683. Prime factorization of 12294 in exponential form is:

12294 = 2¹ × 3² × 683¹

Step-3: Factors of 12285

List of positive integer factors of 12285 that divides 12285 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

Step-4: Factors of 12294

List of positive integer factors of 12294 that divides 12285 without a remainder.

1, 2, 3, 6, 9, 18, 683, 1366, 2049, 4098, 6147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12285 and 12294. The biggest common factor number is the GCF number.
So the greatest common factor 12285 and 12294 is 9.

Also check out the Least Common Multiple of 12285 and 12294