What is the Greatest Common Factor of 19308 and 19315?

Greatest common factor (GCF) of 19308 and 19315 is 1.

GCF(19308,19315) = 1

We will now calculate the prime factors of 19308 and 19315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19308 and 19315.

How to find the GCF of 19308 and 19315?

We will first find the prime factorization of 19308 and 19315. After we will calculate the factors of 19308 and 19315 and find the biggest common factor number .

Step-1: Prime Factorization of 19308

Prime factors of 19308 are 2, 3, 1609. Prime factorization of 19308 in exponential form is:

19308 = 2² × 3¹ × 1609¹

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 19308

List of positive integer factors of 19308 that divides 19308 without a remainder.

1, 2, 3, 4, 6, 12, 1609, 3218, 4827, 6436, 9654

Step-4: Factors of 19315

List of positive integer factors of 19315 that divides 19308 without a remainder.

1, 5, 3863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19308 and 19315. The biggest common factor number is the GCF number.
So the greatest common factor 19308 and 19315 is 1.

Also check out the Least Common Multiple of 19308 and 19315