What is the Greatest Common Factor of 15317 and 15334?

Greatest common factor (GCF) of 15317 and 15334 is 17.

GCF(15317,15334) = 17

We will now calculate the prime factors of 15317 and 15334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15317 and 15334.

How to find the GCF of 15317 and 15334?

We will first find the prime factorization of 15317 and 15334. After we will calculate the factors of 15317 and 15334 and find the biggest common factor number .

Step-1: Prime Factorization of 15317

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

15317 = 17² × 53¹

Step-2: Prime Factorization of 15334

Prime factors of 15334 are 2, 11, 17, 41. Prime factorization of 15334 in exponential form is:

15334 = 2¹ × 11¹ × 17¹ × 41¹

Step-3: Factors of 15317

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

1, 17, 53, 289, 901

Step-4: Factors of 15334

List of positive integer factors of 15334 that divides 15317 without a remainder.

1, 2, 11, 17, 22, 34, 41, 82, 187, 374, 451, 697, 902, 1394, 7667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15317 and 15334. The biggest common factor number is the GCF number.
So the greatest common factor 15317 and 15334 is 17.

Also check out the Least Common Multiple of 15317 and 15334