What is the Greatest Common Factor of 17173 and 17186?

Greatest common factor (GCF) of 17173 and 17186 is 13.

GCF(17173,17186) = 13

We will now calculate the prime factors of 17173 and 17186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17173 and 17186.

How to find the GCF of 17173 and 17186?

We will first find the prime factorization of 17173 and 17186. After we will calculate the factors of 17173 and 17186 and find the biggest common factor number .

Step-1: Prime Factorization of 17173

Prime factors of 17173 are 13, 1321. Prime factorization of 17173 in exponential form is:

17173 = 13¹ × 1321¹

Step-2: Prime Factorization of 17186

Prime factors of 17186 are 2, 13, 661. Prime factorization of 17186 in exponential form is:

17186 = 2¹ × 13¹ × 661¹

Step-3: Factors of 17173

List of positive integer factors of 17173 that divides 17173 without a remainder.

1, 13, 1321

Step-4: Factors of 17186

List of positive integer factors of 17186 that divides 17173 without a remainder.

1, 2, 13, 26, 661, 1322, 8593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17173 and 17186. The biggest common factor number is the GCF number.
So the greatest common factor 17173 and 17186 is 13.

Also check out the Least Common Multiple of 17173 and 17186