What is the Greatest Common Factor of 16509 and 16529?

Greatest common factor (GCF) of 16509 and 16529 is 1.

GCF(16509,16529) = 1

We will now calculate the prime factors of 16509 and 16529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16509 and 16529.

How to find the GCF of 16509 and 16529?

We will first find the prime factorization of 16509 and 16529. After we will calculate the factors of 16509 and 16529 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 16529

Prime factors of 16529 are 16529. Prime factorization of 16529 in exponential form is:

16529 = 16529¹

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 16529

List of positive integer factors of 16529 that divides 16509 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16509 and 16529. The biggest common factor number is the GCF number.
So the greatest common factor 16509 and 16529 is 1.

Also check out the Least Common Multiple of 16509 and 16529