What is the Greatest Common Factor of 19359 and 19366?

Greatest common factor (GCF) of 19359 and 19366 is 1.

GCF(19359,19366) = 1

We will now calculate the prime factors of 19359 and 19366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19359 and 19366.

How to find the GCF of 19359 and 19366?

We will first find the prime factorization of 19359 and 19366. After we will calculate the factors of 19359 and 19366 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 19366

Prime factors of 19366 are 2, 23, 421. Prime factorization of 19366 in exponential form is:

19366 = 2¹ × 23¹ × 421¹

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 19366

List of positive integer factors of 19366 that divides 19359 without a remainder.

1, 2, 23, 46, 421, 842, 9683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19359 and 19366. The biggest common factor number is the GCF number.
So the greatest common factor 19359 and 19366 is 1.

Also check out the Least Common Multiple of 19359 and 19366