What is the Greatest Common Factor of 17379 and 17397?

Greatest common factor (GCF) of 17379 and 17397 is 9.

GCF(17379,17397) = 9

We will now calculate the prime factors of 17379 and 17397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17379 and 17397.

How to find the GCF of 17379 and 17397?

We will first find the prime factorization of 17379 and 17397. After we will calculate the factors of 17379 and 17397 and find the biggest common factor number .

Step-1: Prime Factorization of 17379

Prime factors of 17379 are 3, 1931. Prime factorization of 17379 in exponential form is:

17379 = 3² × 1931¹

Step-2: Prime Factorization of 17397

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

17397 = 3² × 1933¹

Step-3: Factors of 17379

List of positive integer factors of 17379 that divides 17379 without a remainder.

1, 3, 9, 1931, 5793

Step-4: Factors of 17397

List of positive integer factors of 17397 that divides 17379 without a remainder.

1, 3, 9, 1933, 5799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17379 and 17397. The biggest common factor number is the GCF number.
So the greatest common factor 17379 and 17397 is 9.

Also check out the Least Common Multiple of 17379 and 17397