What is the Greatest Common Factor of 66165 and 66174?

Greatest common factor (GCF) of 66165 and 66174 is 3.

GCF(66165,66174) = 3

We will now calculate the prime factors of 66165 and 66174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66165 and 66174.

How to find the GCF of 66165 and 66174?

We will first find the prime factorization of 66165 and 66174. After we will calculate the factors of 66165 and 66174 and find the biggest common factor number .

Step-1: Prime Factorization of 66165

Prime factors of 66165 are 3, 5, 11, 401. Prime factorization of 66165 in exponential form is:

66165 = 3¹ × 5¹ × 11¹ × 401¹

Step-2: Prime Factorization of 66174

Prime factors of 66174 are 2, 3, 41, 269. Prime factorization of 66174 in exponential form is:

66174 = 2¹ × 3¹ × 41¹ × 269¹

Step-3: Factors of 66165

List of positive integer factors of 66165 that divides 66165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 401, 1203, 2005, 4411, 6015, 13233, 22055

Step-4: Factors of 66174

List of positive integer factors of 66174 that divides 66165 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 269, 538, 807, 1614, 11029, 22058, 33087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66165 and 66174. The biggest common factor number is the GCF number.
So the greatest common factor 66165 and 66174 is 3.

Also check out the Least Common Multiple of 66165 and 66174