What is the Greatest Common Factor of 66306 and 66321?

Greatest common factor (GCF) of 66306 and 66321 is 3.

GCF(66306,66321) = 3

We will now calculate the prime factors of 66306 and 66321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66306 and 66321.

How to find the GCF of 66306 and 66321?

We will first find the prime factorization of 66306 and 66321. After we will calculate the factors of 66306 and 66321 and find the biggest common factor number .

Step-1: Prime Factorization of 66306

Prime factors of 66306 are 2, 3, 43, 257. Prime factorization of 66306 in exponential form is:

66306 = 2¹ × 3¹ × 43¹ × 257¹

Step-2: Prime Factorization of 66321

Prime factors of 66321 are 3, 7369. Prime factorization of 66321 in exponential form is:

66321 = 3² × 7369¹

Step-3: Factors of 66306

List of positive integer factors of 66306 that divides 66306 without a remainder.

1, 2, 3, 6, 43, 86, 129, 257, 258, 514, 771, 1542, 11051, 22102, 33153

Step-4: Factors of 66321

List of positive integer factors of 66321 that divides 66306 without a remainder.

1, 3, 9, 7369, 22107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66306 and 66321. The biggest common factor number is the GCF number.
So the greatest common factor 66306 and 66321 is 3.

Also check out the Least Common Multiple of 66306 and 66321