What is the Greatest Common Factor of 12285 and 12298?

Greatest common factor (GCF) of 12285 and 12298 is 13.

GCF(12285,12298) = 13

We will now calculate the prime factors of 12285 and 12298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12285 and 12298.

How to find the GCF of 12285 and 12298?

We will first find the prime factorization of 12285 and 12298. After we will calculate the factors of 12285 and 12298 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 12298

Prime factors of 12298 are 2, 11, 13, 43. Prime factorization of 12298 in exponential form is:

12298 = 2¹ × 11¹ × 13¹ × 43¹

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 12298

List of positive integer factors of 12298 that divides 12285 without a remainder.

1, 2, 11, 13, 22, 26, 43, 86, 143, 286, 473, 559, 946, 1118, 6149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12285 and 12298. The biggest common factor number is the GCF number.
So the greatest common factor 12285 and 12298 is 13.

Also check out the Least Common Multiple of 12285 and 12298