What is the Greatest Common Factor of 16589 and 16605?

Greatest common factor (GCF) of 16589 and 16605 is 1.

GCF(16589,16605) = 1

We will now calculate the prime factors of 16589 and 16605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16589 and 16605.

How to find the GCF of 16589 and 16605?

We will first find the prime factorization of 16589 and 16605. After we will calculate the factors of 16589 and 16605 and find the biggest common factor number .

Step-1: Prime Factorization of 16589

Prime factors of 16589 are 53, 313. Prime factorization of 16589 in exponential form is:

16589 = 53¹ × 313¹

Step-2: Prime Factorization of 16605

Prime factors of 16605 are 3, 5, 41. Prime factorization of 16605 in exponential form is:

16605 = 3⁴ × 5¹ × 41¹

Step-3: Factors of 16589

List of positive integer factors of 16589 that divides 16589 without a remainder.

1, 53, 313

Step-4: Factors of 16605

List of positive integer factors of 16605 that divides 16589 without a remainder.

1, 3, 5, 9, 15, 27, 41, 45, 81, 123, 135, 205, 369, 405, 615, 1107, 1845, 3321, 5535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16589 and 16605. The biggest common factor number is the GCF number.
So the greatest common factor 16589 and 16605 is 1.

Also check out the Least Common Multiple of 16589 and 16605