What is the Greatest Common Factor of 17397 and 17415?

Greatest common factor (GCF) of 17397 and 17415 is 9.

GCF(17397,17415) = 9

We will now calculate the prime factors of 17397 and 17415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17397 and 17415.

How to find the GCF of 17397 and 17415?

We will first find the prime factorization of 17397 and 17415. After we will calculate the factors of 17397 and 17415 and find the biggest common factor number .

Step-1: Prime Factorization of 17397

Prime factors of 17397 are 3, 1933. Prime factorization of 17397 in exponential form is:

17397 = 3² × 1933¹

Step-2: Prime Factorization of 17415

Prime factors of 17415 are 3, 5, 43. Prime factorization of 17415 in exponential form is:

17415 = 3⁴ × 5¹ × 43¹

Step-3: Factors of 17397

List of positive integer factors of 17397 that divides 17397 without a remainder.

1, 3, 9, 1933, 5799

Step-4: Factors of 17415

List of positive integer factors of 17415 that divides 17397 without a remainder.

1, 3, 5, 9, 15, 27, 43, 45, 81, 129, 135, 215, 387, 405, 645, 1161, 1935, 3483, 5805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17397 and 17415. The biggest common factor number is the GCF number.
So the greatest common factor 17397 and 17415 is 9.

Also check out the Least Common Multiple of 17397 and 17415