What is the Greatest Common Factor of 12397 and 12401?

Greatest common factor (GCF) of 12397 and 12401 is 1.

GCF(12397,12401) = 1

We will now calculate the prime factors of 12397 and 12401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12397 and 12401.

How to find the GCF of 12397 and 12401?

We will first find the prime factorization of 12397 and 12401. After we will calculate the factors of 12397 and 12401 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 12401

Prime factors of 12401 are 12401. Prime factorization of 12401 in exponential form is:

12401 = 12401¹

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 12401

List of positive integer factors of 12401 that divides 12397 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12397 and 12401. The biggest common factor number is the GCF number.
So the greatest common factor 12397 and 12401 is 1.

Also check out the Least Common Multiple of 12397 and 12401