What is the Greatest Common Factor of 12375 and 12390?

Greatest common factor (GCF) of 12375 and 12390 is 15.

GCF(12375,12390) = 15

We will now calculate the prime factors of 12375 and 12390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12375 and 12390.

How to find the GCF of 12375 and 12390?

We will first find the prime factorization of 12375 and 12390. After we will calculate the factors of 12375 and 12390 and find the biggest common factor number .

Step-1: Prime Factorization of 12375

Prime factors of 12375 are 3, 5, 11. Prime factorization of 12375 in exponential form is:

12375 = 3² × 5³ × 11¹

Step-2: 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-3: Factors of 12375

List of positive integer factors of 12375 that divides 12375 without a remainder.

1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 125, 165, 225, 275, 375, 495, 825, 1125, 1375, 2475, 4125

Step-4: Factors of 12390

List of positive integer factors of 12390 that divides 12375 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12375 and 12390. The biggest common factor number is the GCF number.
So the greatest common factor 12375 and 12390 is 15.

Also check out the Least Common Multiple of 12375 and 12390