What is the Greatest Common Factor of 17279 and 17297?

Greatest common factor (GCF) of 17279 and 17297 is 1.

GCF(17279,17297) = 1

We will now calculate the prime factors of 17279 and 17297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17279 and 17297.

How to find the GCF of 17279 and 17297?

We will first find the prime factorization of 17279 and 17297. After we will calculate the factors of 17279 and 17297 and find the biggest common factor number .

Step-1: Prime Factorization of 17279

Prime factors of 17279 are 37, 467. Prime factorization of 17279 in exponential form is:

17279 = 37¹ × 467¹

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 17279

List of positive integer factors of 17279 that divides 17279 without a remainder.

1, 37, 467

Step-4: Factors of 17297

List of positive integer factors of 17297 that divides 17279 without a remainder.

1, 7, 49, 353, 2471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17279 and 17297. The biggest common factor number is the GCF number.
So the greatest common factor 17279 and 17297 is 1.

Also check out the Least Common Multiple of 17279 and 17297