What is the Greatest Common Factor of 17361 and 17379?

Greatest common factor (GCF) of 17361 and 17379 is 9.

GCF(17361,17379) = 9

We will now calculate the prime factors of 17361 and 17379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17361 and 17379.

How to find the GCF of 17361 and 17379?

We will first find the prime factorization of 17361 and 17379. After we will calculate the factors of 17361 and 17379 and find the biggest common factor number .

Step-1: Prime Factorization of 17361

Prime factors of 17361 are 3, 643. Prime factorization of 17361 in exponential form is:

17361 = 3³ × 643¹

Step-2: Prime Factorization of 17379

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

17379 = 3² × 1931¹

Step-3: Factors of 17361

List of positive integer factors of 17361 that divides 17361 without a remainder.

1, 3, 9, 27, 643, 1929, 5787

Step-4: Factors of 17379

List of positive integer factors of 17379 that divides 17361 without a remainder.

1, 3, 9, 1931, 5793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17361 and 17379. The biggest common factor number is the GCF number.
So the greatest common factor 17361 and 17379 is 9.

Also check out the Least Common Multiple of 17361 and 17379