What is the Greatest Common Factor of 12389 and 12397?

Greatest common factor (GCF) of 12389 and 12397 is 1.

GCF(12389,12397) = 1

We will now calculate the prime factors of 12389 and 12397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12389 and 12397.

How to find the GCF of 12389 and 12397?

We will first find the prime factorization of 12389 and 12397. After we will calculate the factors of 12389 and 12397 and find the biggest common factor number .

Step-1: Prime Factorization of 12389

Prime factors of 12389 are 13, 953. Prime factorization of 12389 in exponential form is:

12389 = 13¹ × 953¹

Step-2: Prime Factorization of 12397

Prime factors of 12397 are 7, 11, 23. Prime factorization of 12397 in exponential form is:

12397 = 7² × 11¹ × 23¹

Step-3: Factors of 12389

List of positive integer factors of 12389 that divides 12389 without a remainder.

1, 13, 953

Step-4: Factors of 12397

List of positive integer factors of 12397 that divides 12389 without a remainder.

1, 7, 11, 23, 49, 77, 161, 253, 539, 1127, 1771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12389 and 12397. The biggest common factor number is the GCF number.
So the greatest common factor 12389 and 12397 is 1.

Also check out the Least Common Multiple of 12389 and 12397