What is the Greatest Common Factor of 17168 and 17179?

Greatest common factor (GCF) of 17168 and 17179 is 1.

GCF(17168,17179) = 1

We will now calculate the prime factors of 17168 and 17179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17168 and 17179.

How to find the GCF of 17168 and 17179?

We will first find the prime factorization of 17168 and 17179. After we will calculate the factors of 17168 and 17179 and find the biggest common factor number .

Step-1: Prime Factorization of 17168

Prime factors of 17168 are 2, 29, 37. Prime factorization of 17168 in exponential form is:

17168 = 2⁴ × 29¹ × 37¹

Step-2: Prime Factorization of 17179

Prime factors of 17179 are 41, 419. Prime factorization of 17179 in exponential form is:

17179 = 41¹ × 419¹

Step-3: Factors of 17168

List of positive integer factors of 17168 that divides 17168 without a remainder.

1, 2, 4, 8, 16, 29, 37, 58, 74, 116, 148, 232, 296, 464, 592, 1073, 2146, 4292, 8584

Step-4: Factors of 17179

List of positive integer factors of 17179 that divides 17168 without a remainder.

1, 41, 419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17168 and 17179. The biggest common factor number is the GCF number.
So the greatest common factor 17168 and 17179 is 1.

Also check out the Least Common Multiple of 17168 and 17179