What is the Greatest Common Factor of 19305 and 19309?

Greatest common factor (GCF) of 19305 and 19309 is 1.

GCF(19305,19309) = 1

We will now calculate the prime factors of 19305 and 19309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19305 and 19309.

How to find the GCF of 19305 and 19309?

We will first find the prime factorization of 19305 and 19309. After we will calculate the factors of 19305 and 19309 and find the biggest common factor number .

Step-1: Prime Factorization of 19305

Prime factors of 19305 are 3, 5, 11, 13. Prime factorization of 19305 in exponential form is:

19305 = 3³ × 5¹ × 11¹ × 13¹

Step-2: Prime Factorization of 19309

Prime factors of 19309 are 19309. Prime factorization of 19309 in exponential form is:

19309 = 19309¹

Step-3: Factors of 19305

List of positive integer factors of 19305 that divides 19305 without a remainder.

1, 3, 5, 9, 11, 13, 15, 27, 33, 39, 45, 55, 65, 99, 117, 135, 143, 165, 195, 297, 351, 429, 495, 585, 715, 1287, 1485, 1755, 2145, 3861, 6435

Step-4: Factors of 19309

List of positive integer factors of 19309 that divides 19305 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19305 and 19309. The biggest common factor number is the GCF number.
So the greatest common factor 19305 and 19309 is 1.

Also check out the Least Common Multiple of 19305 and 19309