What is the Greatest Common Factor of 16509 and 16526?

Greatest common factor (GCF) of 16509 and 16526 is 1.

GCF(16509,16526) = 1

We will now calculate the prime factors of 16509 and 16526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16509 and 16526.

How to find the GCF of 16509 and 16526?

We will first find the prime factorization of 16509 and 16526. After we will calculate the factors of 16509 and 16526 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 16526

Prime factors of 16526 are 2, 8263. Prime factorization of 16526 in exponential form is:

16526 = 2¹ × 8263¹

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 16526

List of positive integer factors of 16526 that divides 16509 without a remainder.

1, 2, 8263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16509 and 16526. The biggest common factor number is the GCF number.
So the greatest common factor 16509 and 16526 is 1.

Also check out the Least Common Multiple of 16509 and 16526