What is the Greatest Common Factor of 66189 and 66198?

Greatest common factor (GCF) of 66189 and 66198 is 3.

GCF(66189,66198) = 3

We will now calculate the prime factors of 66189 and 66198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66189 and 66198.

How to find the GCF of 66189 and 66198?

We will first find the prime factorization of 66189 and 66198. After we will calculate the factors of 66189 and 66198 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 66198

Prime factors of 66198 are 2, 3, 11, 17, 59. Prime factorization of 66198 in exponential form is:

66198 = 2¹ × 3¹ × 11¹ × 17¹ × 59¹

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 66198

List of positive integer factors of 66198 that divides 66189 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 59, 66, 102, 118, 177, 187, 354, 374, 561, 649, 1003, 1122, 1298, 1947, 2006, 3009, 3894, 6018, 11033, 22066, 33099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66189 and 66198. The biggest common factor number is the GCF number.
So the greatest common factor 66189 and 66198 is 3.

Also check out the Least Common Multiple of 66189 and 66198