What is the Greatest Common Factor of 12390 and 12404?

Greatest common factor (GCF) of 12390 and 12404 is 14.

GCF(12390,12404) = 14

We will now calculate the prime factors of 12390 and 12404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12390 and 12404.

How to find the GCF of 12390 and 12404?

We will first find the prime factorization of 12390 and 12404. After we will calculate the factors of 12390 and 12404 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 12404

Prime factors of 12404 are 2, 7, 443. Prime factorization of 12404 in exponential form is:

12404 = 2² × 7¹ × 443¹

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 12404

List of positive integer factors of 12404 that divides 12390 without a remainder.

1, 2, 4, 7, 14, 28, 443, 886, 1772, 3101, 6202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12390 and 12404. The biggest common factor number is the GCF number.
So the greatest common factor 12390 and 12404 is 14.

Also check out the Least Common Multiple of 12390 and 12404