What is the Greatest Common Factor of 16517 and 16537?

Greatest common factor (GCF) of 16517 and 16537 is 1.

GCF(16517,16537) = 1

We will now calculate the prime factors of 16517 and 16537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16517 and 16537.

How to find the GCF of 16517 and 16537?

We will first find the prime factorization of 16517 and 16537. After we will calculate the factors of 16517 and 16537 and find the biggest common factor number .

Step-1: Prime Factorization of 16517

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

16517 = 83¹ × 199¹

Step-2: Prime Factorization of 16537

Prime factors of 16537 are 23, 719. Prime factorization of 16537 in exponential form is:

16537 = 23¹ × 719¹

Step-3: Factors of 16517

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

1, 83, 199

Step-4: Factors of 16537

List of positive integer factors of 16537 that divides 16517 without a remainder.

1, 23, 719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16517 and 16537. The biggest common factor number is the GCF number.
So the greatest common factor 16517 and 16537 is 1.

Also check out the Least Common Multiple of 16517 and 16537