What is the Greatest Common Factor of 66177 and 66189?

Greatest common factor (GCF) of 66177 and 66189 is 3.

GCF(66177,66189) = 3

We will now calculate the prime factors of 66177 and 66189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66177 and 66189.

How to find the GCF of 66177 and 66189?

We will first find the prime factorization of 66177 and 66189. After we will calculate the factors of 66177 and 66189 and find the biggest common factor number .

Step-1: Prime Factorization of 66177

Prime factors of 66177 are 3, 19, 43. Prime factorization of 66177 in exponential form is:

66177 = 3⁴ × 19¹ × 43¹

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 66177

List of positive integer factors of 66177 that divides 66177 without a remainder.

1, 3, 9, 19, 27, 43, 57, 81, 129, 171, 387, 513, 817, 1161, 1539, 2451, 3483, 7353, 22059

Step-4: Factors of 66189

List of positive integer factors of 66189 that divides 66177 without a remainder.

1, 3, 22063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66177 and 66189. The biggest common factor number is the GCF number.
So the greatest common factor 66177 and 66189 is 3.

Also check out the Least Common Multiple of 66177 and 66189