What is the Greatest Common Factor of 17297 and 17303?

Greatest common factor (GCF) of 17297 and 17303 is 1.

GCF(17297,17303) = 1

We will now calculate the prime factors of 17297 and 17303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17297 and 17303.

How to find the GCF of 17297 and 17303?

We will first find the prime factorization of 17297 and 17303. After we will calculate the factors of 17297 and 17303 and find the biggest common factor number .

Step-1: Prime Factorization of 17297

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

17297 = 7² × 353¹

Step-2: Prime Factorization of 17303

Prime factors of 17303 are 11, 13. Prime factorization of 17303 in exponential form is:

17303 = 11³ × 13¹

Step-3: Factors of 17297

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

1, 7, 49, 353, 2471

Step-4: Factors of 17303

List of positive integer factors of 17303 that divides 17297 without a remainder.

1, 11, 13, 121, 143, 1331, 1573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17297 and 17303. The biggest common factor number is the GCF number.
So the greatest common factor 17297 and 17303 is 1.

Also check out the Least Common Multiple of 17297 and 17303