What is the Greatest Common Factor of 12390 and 12405?

Greatest common factor (GCF) of 12390 and 12405 is 15.

GCF(12390,12405) = 15

We will now calculate the prime factors of 12390 and 12405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12390 and 12405.

How to find the GCF of 12390 and 12405?

We will first find the prime factorization of 12390 and 12405. After we will calculate the factors of 12390 and 12405 and find the biggest common factor number .

Step-1: Prime Factorization of 12390

Prime factors of 12390 are 2, 3, 5, 7, 59. Prime factorization of 12390 in exponential form is:

12390 = 2¹ × 3¹ × 5¹ × 7¹ × 59¹

Step-2: Prime Factorization of 12405

Prime factors of 12405 are 3, 5, 827. Prime factorization of 12405 in exponential form is:

12405 = 3¹ × 5¹ × 827¹

Step-3: Factors of 12390

List of positive integer factors of 12390 that divides 12390 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 59, 70, 105, 118, 177, 210, 295, 354, 413, 590, 826, 885, 1239, 1770, 2065, 2478, 4130, 6195

Step-4: Factors of 12405

List of positive integer factors of 12405 that divides 12390 without a remainder.

1, 3, 5, 15, 827, 2481, 4135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12390 and 12405. The biggest common factor number is the GCF number.
So the greatest common factor 12390 and 12405 is 15.

Also check out the Least Common Multiple of 12390 and 12405