What is the Greatest Common Factor of 19305 and 19315?

Greatest common factor (GCF) of 19305 and 19315 is 5.

GCF(19305,19315) = 5

We will now calculate the prime factors of 19305 and 19315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19305 and 19315.

How to find the GCF of 19305 and 19315?

We will first find the prime factorization of 19305 and 19315. After we will calculate the factors of 19305 and 19315 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 19315

Prime factors of 19315 are 5, 3863. Prime factorization of 19315 in exponential form is:

19315 = 5¹ × 3863¹

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 19315

List of positive integer factors of 19315 that divides 19305 without a remainder.

1, 5, 3863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19305 and 19315. The biggest common factor number is the GCF number.
So the greatest common factor 19305 and 19315 is 5.

Also check out the Least Common Multiple of 19305 and 19315