What is the Greatest Common Factor of 66189 and 66195?

Greatest common factor (GCF) of 66189 and 66195 is 3.

GCF(66189,66195) = 3

We will now calculate the prime factors of 66189 and 66195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66189 and 66195.

How to find the GCF of 66189 and 66195?

We will first find the prime factorization of 66189 and 66195. After we will calculate the factors of 66189 and 66195 and find the biggest common factor number .

Step-1: Prime Factorization of 66189

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

66189 = 3¹ × 22063¹

Step-2: Prime Factorization of 66195

Prime factors of 66195 are 3, 5, 1471. Prime factorization of 66195 in exponential form is:

66195 = 3² × 5¹ × 1471¹

Step-3: Factors of 66189

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

1, 3, 22063

Step-4: Factors of 66195

List of positive integer factors of 66195 that divides 66189 without a remainder.

1, 3, 5, 9, 15, 45, 1471, 4413, 7355, 13239, 22065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66189 and 66195. The biggest common factor number is the GCF number.
So the greatest common factor 66189 and 66195 is 3.

Also check out the Least Common Multiple of 66189 and 66195