What is the Greatest Common Factor of 19315 and 19335?

Greatest common factor (GCF) of 19315 and 19335 is 5.

GCF(19315,19335) = 5

We will now calculate the prime factors of 19315 and 19335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19315 and 19335.

How to find the GCF of 19315 and 19335?

We will first find the prime factorization of 19315 and 19335. After we will calculate the factors of 19315 and 19335 and find the biggest common factor number .

Step-1: Prime Factorization of 19315

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

19315 = 5¹ × 3863¹

Step-2: Prime Factorization of 19335

Prime factors of 19335 are 3, 5, 1289. Prime factorization of 19335 in exponential form is:

19335 = 3¹ × 5¹ × 1289¹

Step-3: Factors of 19315

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

1, 5, 3863

Step-4: Factors of 19335

List of positive integer factors of 19335 that divides 19315 without a remainder.

1, 3, 5, 15, 1289, 3867, 6445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19315 and 19335. The biggest common factor number is the GCF number.
So the greatest common factor 19315 and 19335 is 5.

Also check out the Least Common Multiple of 19315 and 19335