What is the Greatest Common Factor of 12390 and 12399?

Greatest common factor (GCF) of 12390 and 12399 is 3.

GCF(12390,12399) = 3

We will now calculate the prime factors of 12390 and 12399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12390 and 12399.

How to find the GCF of 12390 and 12399?

We will first find the prime factorization of 12390 and 12399. After we will calculate the factors of 12390 and 12399 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 12399

Prime factors of 12399 are 3, 4133. Prime factorization of 12399 in exponential form is:

12399 = 3¹ × 4133¹

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 12399

List of positive integer factors of 12399 that divides 12390 without a remainder.

1, 3, 4133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12390 and 12399. The biggest common factor number is the GCF number.
So the greatest common factor 12390 and 12399 is 3.

Also check out the Least Common Multiple of 12390 and 12399