What is the Greatest Common Factor of 19359 and 19365?

Greatest common factor (GCF) of 19359 and 19365 is 3.

GCF(19359,19365) = 3

We will now calculate the prime factors of 19359 and 19365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19359 and 19365.

How to find the GCF of 19359 and 19365?

We will first find the prime factorization of 19359 and 19365. After we will calculate the factors of 19359 and 19365 and find the biggest common factor number .

Step-1: Prime Factorization of 19359

Prime factors of 19359 are 3, 239. Prime factorization of 19359 in exponential form is:

19359 = 3⁴ × 239¹

Step-2: Prime Factorization of 19365

Prime factors of 19365 are 3, 5, 1291. Prime factorization of 19365 in exponential form is:

19365 = 3¹ × 5¹ × 1291¹

Step-3: Factors of 19359

List of positive integer factors of 19359 that divides 19359 without a remainder.

1, 3, 9, 27, 81, 239, 717, 2151, 6453

Step-4: Factors of 19365

List of positive integer factors of 19365 that divides 19359 without a remainder.

1, 3, 5, 15, 1291, 3873, 6455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19359 and 19365. The biggest common factor number is the GCF number.
So the greatest common factor 19359 and 19365 is 3.

Also check out the Least Common Multiple of 19359 and 19365