What is the Greatest Common Factor of 16605 and 16613?

Greatest common factor (GCF) of 16605 and 16613 is 1.

GCF(16605,16613) = 1

We will now calculate the prime factors of 16605 and 16613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16605 and 16613.

How to find the GCF of 16605 and 16613?

We will first find the prime factorization of 16605 and 16613. After we will calculate the factors of 16605 and 16613 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16613

Prime factors of 16613 are 37, 449. Prime factorization of 16613 in exponential form is:

16613 = 37¹ × 449¹

Step-3: Factors of 16605

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

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

Step-4: Factors of 16613

List of positive integer factors of 16613 that divides 16605 without a remainder.

1, 37, 449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16605 and 16613. The biggest common factor number is the GCF number.
So the greatest common factor 16605 and 16613 is 1.

Also check out the Least Common Multiple of 16605 and 16613