What is the Greatest Common Factor of 19305 and 19318?

Greatest common factor (GCF) of 19305 and 19318 is 13.

GCF(19305,19318) = 13

We will now calculate the prime factors of 19305 and 19318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19305 and 19318.

How to find the GCF of 19305 and 19318?

We will first find the prime factorization of 19305 and 19318. After we will calculate the factors of 19305 and 19318 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 19318

Prime factors of 19318 are 2, 13, 743. Prime factorization of 19318 in exponential form is:

19318 = 2¹ × 13¹ × 743¹

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 19318

List of positive integer factors of 19318 that divides 19305 without a remainder.

1, 2, 13, 26, 743, 1486, 9659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19305 and 19318. The biggest common factor number is the GCF number.
So the greatest common factor 19305 and 19318 is 13.

Also check out the Least Common Multiple of 19305 and 19318