What is the Greatest Common Factor of 12369 and 12382?

Greatest common factor (GCF) of 12369 and 12382 is 1.

GCF(12369,12382) = 1

We will now calculate the prime factors of 12369 and 12382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12369 and 12382.

How to find the GCF of 12369 and 12382?

We will first find the prime factorization of 12369 and 12382. After we will calculate the factors of 12369 and 12382 and find the biggest common factor number .

Step-1: Prime Factorization of 12369

Prime factors of 12369 are 3, 7, 19, 31. Prime factorization of 12369 in exponential form is:

12369 = 3¹ × 7¹ × 19¹ × 31¹

Step-2: Prime Factorization of 12382

Prime factors of 12382 are 2, 41, 151. Prime factorization of 12382 in exponential form is:

12382 = 2¹ × 41¹ × 151¹

Step-3: Factors of 12369

List of positive integer factors of 12369 that divides 12369 without a remainder.

1, 3, 7, 19, 21, 31, 57, 93, 133, 217, 399, 589, 651, 1767, 4123

Step-4: Factors of 12382

List of positive integer factors of 12382 that divides 12369 without a remainder.

1, 2, 41, 82, 151, 302, 6191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12369 and 12382. The biggest common factor number is the GCF number.
So the greatest common factor 12369 and 12382 is 1.

Also check out the Least Common Multiple of 12369 and 12382