What is the Greatest Common Factor of 84321 and 84333?

Greatest common factor (GCF) of 84321 and 84333 is 3.

GCF(84321,84333) = 3

We will now calculate the prime factors of 84321 and 84333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84321 and 84333.

How to find the GCF of 84321 and 84333?

We will first find the prime factorization of 84321 and 84333. After we will calculate the factors of 84321 and 84333 and find the biggest common factor number .

Step-1: Prime Factorization of 84321

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

84321 = 3⁵ × 347¹

Step-2: Prime Factorization of 84333

Prime factors of 84333 are 3, 28111. Prime factorization of 84333 in exponential form is:

84333 = 3¹ × 28111¹

Step-3: Factors of 84321

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

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

Step-4: Factors of 84333

List of positive integer factors of 84333 that divides 84321 without a remainder.

1, 3, 28111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84321 and 84333. The biggest common factor number is the GCF number.
So the greatest common factor 84321 and 84333 is 3.

Also check out the Least Common Multiple of 84321 and 84333