What is the Greatest Common Factor of 84306 and 84321?

Greatest common factor (GCF) of 84306 and 84321 is 3.

GCF(84306,84321) = 3

We will now calculate the prime factors of 84306 and 84321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84306 and 84321.

How to find the GCF of 84306 and 84321?

We will first find the prime factorization of 84306 and 84321. After we will calculate the factors of 84306 and 84321 and find the biggest common factor number .

Step-1: Prime Factorization of 84306

Prime factors of 84306 are 2, 3, 14051. Prime factorization of 84306 in exponential form is:

84306 = 2¹ × 3¹ × 14051¹

Step-2: Prime Factorization of 84321

Prime factors of 84321 are 3, 347. Prime factorization of 84321 in exponential form is:

84321 = 3⁵ × 347¹

Step-3: Factors of 84306

List of positive integer factors of 84306 that divides 84306 without a remainder.

1, 2, 3, 6, 14051, 28102, 42153

Step-4: Factors of 84321

List of positive integer factors of 84321 that divides 84306 without a remainder.

1, 3, 9, 27, 81, 243, 347, 1041, 3123, 9369, 28107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84306 and 84321. The biggest common factor number is the GCF number.
So the greatest common factor 84306 and 84321 is 3.

Also check out the Least Common Multiple of 84306 and 84321