What is the Greatest Common Factor of 18173 and 18190?

Greatest common factor (GCF) of 18173 and 18190 is 17.

GCF(18173,18190) = 17

We will now calculate the prime factors of 18173 and 18190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18173 and 18190.

How to find the GCF of 18173 and 18190?

We will first find the prime factorization of 18173 and 18190. After we will calculate the factors of 18173 and 18190 and find the biggest common factor number .

Step-1: Prime Factorization of 18173

Prime factors of 18173 are 17, 1069. Prime factorization of 18173 in exponential form is:

18173 = 17¹ × 1069¹

Step-2: Prime Factorization of 18190

Prime factors of 18190 are 2, 5, 17, 107. Prime factorization of 18190 in exponential form is:

18190 = 2¹ × 5¹ × 17¹ × 107¹

Step-3: Factors of 18173

List of positive integer factors of 18173 that divides 18173 without a remainder.

1, 17, 1069

Step-4: Factors of 18190

List of positive integer factors of 18190 that divides 18173 without a remainder.

1, 2, 5, 10, 17, 34, 85, 107, 170, 214, 535, 1070, 1819, 3638, 9095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18173 and 18190. The biggest common factor number is the GCF number.
So the greatest common factor 18173 and 18190 is 17.

Also check out the Least Common Multiple of 18173 and 18190