What is the Greatest Common Factor of 36509 and 36517?

Greatest common factor (GCF) of 36509 and 36517 is 1.

GCF(36509,36517) = 1

We will now calculate the prime factors of 36509 and 36517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36509 and 36517.

How to find the GCF of 36509 and 36517?

We will first find the prime factorization of 36509 and 36517. After we will calculate the factors of 36509 and 36517 and find the biggest common factor number .

Step-1: Prime Factorization of 36509

Prime factors of 36509 are 11, 3319. Prime factorization of 36509 in exponential form is:

36509 = 11¹ × 3319¹

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 36509

List of positive integer factors of 36509 that divides 36509 without a remainder.

1, 11, 3319

Step-4: Factors of 36517

List of positive integer factors of 36517 that divides 36509 without a remainder.

1, 13, 53, 689, 2809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36509 and 36517. The biggest common factor number is the GCF number.
So the greatest common factor 36509 and 36517 is 1.

Also check out the Least Common Multiple of 36509 and 36517