What is the Greatest Common Factor of 17175 and 17189?

Greatest common factor (GCF) of 17175 and 17189 is 1.

GCF(17175,17189) = 1

We will now calculate the prime factors of 17175 and 17189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17175 and 17189.

How to find the GCF of 17175 and 17189?

We will first find the prime factorization of 17175 and 17189. After we will calculate the factors of 17175 and 17189 and find the biggest common factor number .

Step-1: Prime Factorization of 17175

Prime factors of 17175 are 3, 5, 229. Prime factorization of 17175 in exponential form is:

17175 = 3¹ × 5² × 229¹

Step-2: Prime Factorization of 17189

Prime factors of 17189 are 17189. Prime factorization of 17189 in exponential form is:

17189 = 17189¹

Step-3: Factors of 17175

List of positive integer factors of 17175 that divides 17175 without a remainder.

1, 3, 5, 15, 25, 75, 229, 687, 1145, 3435, 5725

Step-4: Factors of 17189

List of positive integer factors of 17189 that divides 17175 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17175 and 17189. The biggest common factor number is the GCF number.
So the greatest common factor 17175 and 17189 is 1.

Also check out the Least Common Multiple of 17175 and 17189