What is the Greatest Common Factor of 16509 and 16517?

Greatest common factor (GCF) of 16509 and 16517 is 1.

GCF(16509,16517) = 1

We will now calculate the prime factors of 16509 and 16517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16509 and 16517.

How to find the GCF of 16509 and 16517?

We will first find the prime factorization of 16509 and 16517. After we will calculate the factors of 16509 and 16517 and find the biggest common factor number .

Step-1: Prime Factorization of 16509

Prime factors of 16509 are 3, 5503. Prime factorization of 16509 in exponential form is:

16509 = 3¹ × 5503¹

Step-2: Prime Factorization of 16517

Prime factors of 16517 are 83, 199. Prime factorization of 16517 in exponential form is:

16517 = 83¹ × 199¹

Step-3: Factors of 16509

List of positive integer factors of 16509 that divides 16509 without a remainder.

1, 3, 5503

Step-4: Factors of 16517

List of positive integer factors of 16517 that divides 16509 without a remainder.

1, 83, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16509 and 16517. The biggest common factor number is the GCF number.
So the greatest common factor 16509 and 16517 is 1.

Also check out the Least Common Multiple of 16509 and 16517