What is the Greatest Common Factor of 17009 and 17014?

Greatest common factor (GCF) of 17009 and 17014 is 1.

GCF(17009,17014) = 1

We will now calculate the prime factors of 17009 and 17014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17009 and 17014.

How to find the GCF of 17009 and 17014?

We will first find the prime factorization of 17009 and 17014. After we will calculate the factors of 17009 and 17014 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 17014

Prime factors of 17014 are 2, 47, 181. Prime factorization of 17014 in exponential form is:

17014 = 2¹ × 47¹ × 181¹

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 17014

List of positive integer factors of 17014 that divides 17009 without a remainder.

1, 2, 47, 94, 181, 362, 8507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17009 and 17014. The biggest common factor number is the GCF number.
So the greatest common factor 17009 and 17014 is 1.

Also check out the Least Common Multiple of 17009 and 17014