What is the Greatest Common Factor of 36504 and 36517?

Greatest common factor (GCF) of 36504 and 36517 is 13.

GCF(36504,36517) = 13

We will now calculate the prime factors of 36504 and 36517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36504 and 36517.

How to find the GCF of 36504 and 36517?

We will first find the prime factorization of 36504 and 36517. After we will calculate the factors of 36504 and 36517 and find the biggest common factor number .

Step-1: Prime Factorization of 36504

Prime factors of 36504 are 2, 3, 13. Prime factorization of 36504 in exponential form is:

36504 = 2³ × 3³ × 13²

Step-2: Prime Factorization of 36517

Prime factors of 36517 are 13, 53. Prime factorization of 36517 in exponential form is:

36517 = 13¹ × 53²

Step-3: Factors of 36504

List of positive integer factors of 36504 that divides 36504 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 169, 216, 234, 312, 338, 351, 468, 507, 676, 702, 936, 1014, 1352, 1404, 1521, 2028, 2808, 3042, 4056, 4563, 6084, 9126, 12168, 18252

Step-4: Factors of 36517

List of positive integer factors of 36517 that divides 36504 without a remainder.

1, 13, 53, 689, 2809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36504 and 36517. The biggest common factor number is the GCF number.
So the greatest common factor 36504 and 36517 is 13.

Also check out the Least Common Multiple of 36504 and 36517