What is the Greatest Common Factor of 16005 and 16017?

Greatest common factor (GCF) of 16005 and 16017 is 3.

GCF(16005,16017) = 3

We will now calculate the prime factors of 16005 and 16017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16005 and 16017.

How to find the GCF of 16005 and 16017?

We will first find the prime factorization of 16005 and 16017. After we will calculate the factors of 16005 and 16017 and find the biggest common factor number .

Step-1: Prime Factorization of 16005

Prime factors of 16005 are 3, 5, 11, 97. Prime factorization of 16005 in exponential form is:

16005 = 3¹ × 5¹ × 11¹ × 97¹

Step-2: Prime Factorization of 16017

Prime factors of 16017 are 3, 19, 281. Prime factorization of 16017 in exponential form is:

16017 = 3¹ × 19¹ × 281¹

Step-3: Factors of 16005

List of positive integer factors of 16005 that divides 16005 without a remainder.

1, 3, 5, 11, 15, 33, 55, 97, 165, 291, 485, 1067, 1455, 3201, 5335

Step-4: Factors of 16017

List of positive integer factors of 16017 that divides 16005 without a remainder.

1, 3, 19, 57, 281, 843, 5339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16005 and 16017. The biggest common factor number is the GCF number.
So the greatest common factor 16005 and 16017 is 3.

Also check out the Least Common Multiple of 16005 and 16017