What is the Greatest Common Factor of 15297 and 15317?

Greatest common factor (GCF) of 15297 and 15317 is 1.

GCF(15297,15317) = 1

We will now calculate the prime factors of 15297 and 15317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15297 and 15317.

How to find the GCF of 15297 and 15317?

We will first find the prime factorization of 15297 and 15317. After we will calculate the factors of 15297 and 15317 and find the biggest common factor number .

Step-1: Prime Factorization of 15297

Prime factors of 15297 are 3, 5099. Prime factorization of 15297 in exponential form is:

15297 = 3¹ × 5099¹

Step-2: Prime Factorization of 15317

Prime factors of 15317 are 17, 53. Prime factorization of 15317 in exponential form is:

15317 = 17² × 53¹

Step-3: Factors of 15297

List of positive integer factors of 15297 that divides 15297 without a remainder.

1, 3, 5099

Step-4: Factors of 15317

List of positive integer factors of 15317 that divides 15297 without a remainder.

1, 17, 53, 289, 901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15297 and 15317. The biggest common factor number is the GCF number.
So the greatest common factor 15297 and 15317 is 1.

Also check out the Least Common Multiple of 15297 and 15317