What is the Greatest Common Factor of 16605 and 16625?

Greatest common factor (GCF) of 16605 and 16625 is 5.

GCF(16605,16625) = 5

We will now calculate the prime factors of 16605 and 16625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16605 and 16625.

How to find the GCF of 16605 and 16625?

We will first find the prime factorization of 16605 and 16625. After we will calculate the factors of 16605 and 16625 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 16625

Prime factors of 16625 are 5, 7, 19. Prime factorization of 16625 in exponential form is:

16625 = 5³ × 7¹ × 19¹

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 16625

List of positive integer factors of 16625 that divides 16605 without a remainder.

1, 5, 7, 19, 25, 35, 95, 125, 133, 175, 475, 665, 875, 2375, 3325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16605 and 16625. The biggest common factor number is the GCF number.
So the greatest common factor 16605 and 16625 is 5.

Also check out the Least Common Multiple of 16605 and 16625