What is the Greatest Common Factor of 17009 and 17027?

Greatest common factor (GCF) of 17009 and 17027 is 1.

GCF(17009,17027) = 1

We will now calculate the prime factors of 17009 and 17027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17009 and 17027.

How to find the GCF of 17009 and 17027?

We will first find the prime factorization of 17009 and 17027. After we will calculate the factors of 17009 and 17027 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 17027

Prime factors of 17027 are 17027. Prime factorization of 17027 in exponential form is:

17027 = 17027¹

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 17027

List of positive integer factors of 17027 that divides 17009 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17009 and 17027. The biggest common factor number is the GCF number.
So the greatest common factor 17009 and 17027 is 1.

Also check out the Least Common Multiple of 17009 and 17027