What is the Greatest Common Factor of 18165 and 18170?

Greatest common factor (GCF) of 18165 and 18170 is 5.

GCF(18165,18170) = 5

We will now calculate the prime factors of 18165 and 18170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18165 and 18170.

How to find the GCF of 18165 and 18170?

We will first find the prime factorization of 18165 and 18170. After we will calculate the factors of 18165 and 18170 and find the biggest common factor number .

Step-1: Prime Factorization of 18165

Prime factors of 18165 are 3, 5, 7, 173. Prime factorization of 18165 in exponential form is:

18165 = 3¹ × 5¹ × 7¹ × 173¹

Step-2: Prime Factorization of 18170

Prime factors of 18170 are 2, 5, 23, 79. Prime factorization of 18170 in exponential form is:

18170 = 2¹ × 5¹ × 23¹ × 79¹

Step-3: Factors of 18165

List of positive integer factors of 18165 that divides 18165 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 173, 519, 865, 1211, 2595, 3633, 6055

Step-4: Factors of 18170

List of positive integer factors of 18170 that divides 18165 without a remainder.

1, 2, 5, 10, 23, 46, 79, 115, 158, 230, 395, 790, 1817, 3634, 9085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18165 and 18170. The biggest common factor number is the GCF number.
So the greatest common factor 18165 and 18170 is 5.

Also check out the Least Common Multiple of 18165 and 18170