What is the Greatest Common Factor of 12397 and 12409?

Greatest common factor (GCF) of 12397 and 12409 is 1.

GCF(12397,12409) = 1

We will now calculate the prime factors of 12397 and 12409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12397 and 12409.

How to find the GCF of 12397 and 12409?

We will first find the prime factorization of 12397 and 12409. After we will calculate the factors of 12397 and 12409 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 12409

Prime factors of 12409 are 12409. Prime factorization of 12409 in exponential form is:

12409 = 12409¹

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 12409

List of positive integer factors of 12409 that divides 12397 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12397 and 12409. The biggest common factor number is the GCF number.
So the greatest common factor 12397 and 12409 is 1.

Also check out the Least Common Multiple of 12397 and 12409