What is the Greatest Common Factor of 19359 and 19367?

Greatest common factor (GCF) of 19359 and 19367 is 1.

GCF(19359,19367) = 1

We will now calculate the prime factors of 19359 and 19367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19359 and 19367.

How to find the GCF of 19359 and 19367?

We will first find the prime factorization of 19359 and 19367. After we will calculate the factors of 19359 and 19367 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 19367

Prime factors of 19367 are 107, 181. Prime factorization of 19367 in exponential form is:

19367 = 107¹ × 181¹

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 19367

List of positive integer factors of 19367 that divides 19359 without a remainder.

1, 107, 181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19359 and 19367. The biggest common factor number is the GCF number.
So the greatest common factor 19359 and 19367 is 1.

Also check out the Least Common Multiple of 19359 and 19367