What is the Greatest Common Factor of 19359 and 19368?

Greatest common factor (GCF) of 19359 and 19368 is 9.

GCF(19359,19368) = 9

We will now calculate the prime factors of 19359 and 19368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19359 and 19368.

How to find the GCF of 19359 and 19368?

We will first find the prime factorization of 19359 and 19368. After we will calculate the factors of 19359 and 19368 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 19368

Prime factors of 19368 are 2, 3, 269. Prime factorization of 19368 in exponential form is:

19368 = 2³ × 3² × 269¹

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 19368

List of positive integer factors of 19368 that divides 19359 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 269, 538, 807, 1076, 1614, 2152, 2421, 3228, 4842, 6456, 9684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19359 and 19368. The biggest common factor number is the GCF number.
So the greatest common factor 19359 and 19368 is 9.

Also check out the Least Common Multiple of 19359 and 19368