What is the Greatest Common Factor of 12397 and 12411?

Greatest common factor (GCF) of 12397 and 12411 is 7.

GCF(12397,12411) = 7

We will now calculate the prime factors of 12397 and 12411, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12397 and 12411.

How to find the GCF of 12397 and 12411?

We will first find the prime factorization of 12397 and 12411. After we will calculate the factors of 12397 and 12411 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 12411

Prime factors of 12411 are 3, 7, 197. Prime factorization of 12411 in exponential form is:

12411 = 3² × 7¹ × 197¹

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 12411

List of positive integer factors of 12411 that divides 12397 without a remainder.

1, 3, 7, 9, 21, 63, 197, 591, 1379, 1773, 4137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12397 and 12411. The biggest common factor number is the GCF number.
So the greatest common factor 12397 and 12411 is 7.

Also check out the Least Common Multiple of 12397 and 12411