What is the Greatest Common Factor of 17289 and 17297?

Greatest common factor (GCF) of 17289 and 17297 is 1.

GCF(17289,17297) = 1

We will now calculate the prime factors of 17289 and 17297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17289 and 17297.

How to find the GCF of 17289 and 17297?

We will first find the prime factorization of 17289 and 17297. After we will calculate the factors of 17289 and 17297 and find the biggest common factor number .

Step-1: Prime Factorization of 17289

Prime factors of 17289 are 3, 17, 113. Prime factorization of 17289 in exponential form is:

17289 = 3² × 17¹ × 113¹

Step-2: Prime Factorization of 17297

Prime factors of 17297 are 7, 353. Prime factorization of 17297 in exponential form is:

17297 = 7² × 353¹

Step-3: Factors of 17289

List of positive integer factors of 17289 that divides 17289 without a remainder.

1, 3, 9, 17, 51, 113, 153, 339, 1017, 1921, 5763

Step-4: Factors of 17297

List of positive integer factors of 17297 that divides 17289 without a remainder.

1, 7, 49, 353, 2471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17289 and 17297. The biggest common factor number is the GCF number.
So the greatest common factor 17289 and 17297 is 1.

Also check out the Least Common Multiple of 17289 and 17297