What is the Greatest Common Factor of 17009 and 17017?

Greatest common factor (GCF) of 17009 and 17017 is 1.

GCF(17009,17017) = 1

We will now calculate the prime factors of 17009 and 17017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17009 and 17017.

How to find the GCF of 17009 and 17017?

We will first find the prime factorization of 17009 and 17017. After we will calculate the factors of 17009 and 17017 and find the biggest common factor number .

Step-1: Prime Factorization of 17009

Prime factors of 17009 are 73, 233. Prime factorization of 17009 in exponential form is:

17009 = 73¹ × 233¹

Step-2: Prime Factorization of 17017

Prime factors of 17017 are 7, 11, 13, 17. Prime factorization of 17017 in exponential form is:

17017 = 7¹ × 11¹ × 13¹ × 17¹

Step-3: Factors of 17009

List of positive integer factors of 17009 that divides 17009 without a remainder.

1, 73, 233

Step-4: Factors of 17017

List of positive integer factors of 17017 that divides 17009 without a remainder.

1, 7, 11, 13, 17, 77, 91, 119, 143, 187, 221, 1001, 1309, 1547, 2431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17009 and 17017. The biggest common factor number is the GCF number.
So the greatest common factor 17009 and 17017 is 1.

Also check out the Least Common Multiple of 17009 and 17017