What is the Greatest Common Factor of 18165 and 18174?

Greatest common factor (GCF) of 18165 and 18174 is 3.

GCF(18165,18174) = 3

We will now calculate the prime factors of 18165 and 18174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18165 and 18174.

How to find the GCF of 18165 and 18174?

We will first find the prime factorization of 18165 and 18174. After we will calculate the factors of 18165 and 18174 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 18174

Prime factors of 18174 are 2, 3, 13, 233. Prime factorization of 18174 in exponential form is:

18174 = 2¹ × 3¹ × 13¹ × 233¹

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 18174

List of positive integer factors of 18174 that divides 18165 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 233, 466, 699, 1398, 3029, 6058, 9087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18165 and 18174. The biggest common factor number is the GCF number.
So the greatest common factor 18165 and 18174 is 3.

Also check out the Least Common Multiple of 18165 and 18174