What is the Greatest Common Factor of 16504 and 16517?

Greatest common factor (GCF) of 16504 and 16517 is 1.

GCF(16504,16517) = 1

We will now calculate the prime factors of 16504 and 16517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16504 and 16517.

How to find the GCF of 16504 and 16517?

We will first find the prime factorization of 16504 and 16517. After we will calculate the factors of 16504 and 16517 and find the biggest common factor number .

Step-1: Prime Factorization of 16504

Prime factors of 16504 are 2, 2063. Prime factorization of 16504 in exponential form is:

16504 = 2³ × 2063¹

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 16504

List of positive integer factors of 16504 that divides 16504 without a remainder.

1, 2, 4, 8, 2063, 4126, 8252

Step-4: Factors of 16517

List of positive integer factors of 16517 that divides 16504 without a remainder.

1, 83, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16504 and 16517. The biggest common factor number is the GCF number.
So the greatest common factor 16504 and 16517 is 1.

Also check out the Least Common Multiple of 16504 and 16517