What is the Greatest Common Factor of 12338 and 12347?

Greatest common factor (GCF) of 12338 and 12347 is 1.

GCF(12338,12347) = 1

We will now calculate the prime factors of 12338 and 12347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12338 and 12347.

How to find the GCF of 12338 and 12347?

We will first find the prime factorization of 12338 and 12347. After we will calculate the factors of 12338 and 12347 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12347

Prime factors of 12347 are 12347. Prime factorization of 12347 in exponential form is:

12347 = 12347¹

Step-3: Factors of 12338

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

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

Step-4: Factors of 12347

List of positive integer factors of 12347 that divides 12338 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12338 and 12347. The biggest common factor number is the GCF number.
So the greatest common factor 12338 and 12347 is 1.

Also check out the Least Common Multiple of 12338 and 12347