What is the Greatest Common Factor of 66174 and 66189?

Greatest common factor (GCF) of 66174 and 66189 is 3.

GCF(66174,66189) = 3

We will now calculate the prime factors of 66174 and 66189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66174 and 66189.

How to find the GCF of 66174 and 66189?

We will first find the prime factorization of 66174 and 66189. After we will calculate the factors of 66174 and 66189 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66189

Prime factors of 66189 are 3, 22063. Prime factorization of 66189 in exponential form is:

66189 = 3¹ × 22063¹

Step-3: Factors of 66174

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

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

Step-4: Factors of 66189

List of positive integer factors of 66189 that divides 66174 without a remainder.

1, 3, 22063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66174 and 66189. The biggest common factor number is the GCF number.
So the greatest common factor 66174 and 66189 is 3.

Also check out the Least Common Multiple of 66174 and 66189