What is the Greatest Common Factor of 12321 and 12338?

Greatest common factor (GCF) of 12321 and 12338 is 1.

GCF(12321,12338) = 1

We will now calculate the prime factors of 12321 and 12338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12321 and 12338.

How to find the GCF of 12321 and 12338?

We will first find the prime factorization of 12321 and 12338. After we will calculate the factors of 12321 and 12338 and find the biggest common factor number .

Step-1: Prime Factorization of 12321

Prime factors of 12321 are 3, 37. Prime factorization of 12321 in exponential form is:

12321 = 3² × 37²

Step-2: Prime Factorization of 12338

Prime factors of 12338 are 2, 31, 199. Prime factorization of 12338 in exponential form is:

12338 = 2¹ × 31¹ × 199¹

Step-3: Factors of 12321

List of positive integer factors of 12321 that divides 12321 without a remainder.

1, 3, 9, 37, 111, 333, 1369, 4107

Step-4: Factors of 12338

List of positive integer factors of 12338 that divides 12321 without a remainder.

1, 2, 31, 62, 199, 398, 6169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12321 and 12338. The biggest common factor number is the GCF number.
So the greatest common factor 12321 and 12338 is 1.

Also check out the Least Common Multiple of 12321 and 12338