What is the Greatest Common Factor of 12397 and 12413?

Greatest common factor (GCF) of 12397 and 12413 is 1.

GCF(12397,12413) = 1

We will now calculate the prime factors of 12397 and 12413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12397 and 12413.

How to find the GCF of 12397 and 12413?

We will first find the prime factorization of 12397 and 12413. After we will calculate the factors of 12397 and 12413 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12413

Prime factors of 12413 are 12413. Prime factorization of 12413 in exponential form is:

12413 = 12413¹

Step-3: Factors of 12397

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

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

Step-4: Factors of 12413

List of positive integer factors of 12413 that divides 12397 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12397 and 12413. The biggest common factor number is the GCF number.
So the greatest common factor 12397 and 12413 is 1.

Also check out the Least Common Multiple of 12397 and 12413