What is the Greatest Common Factor of 93321 and 93339?

Greatest common factor (GCF) of 93321 and 93339 is 9.

GCF(93321,93339) = 9

We will now calculate the prime factors of 93321 and 93339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93321 and 93339.

How to find the GCF of 93321 and 93339?

We will first find the prime factorization of 93321 and 93339. After we will calculate the factors of 93321 and 93339 and find the biggest common factor number .

Step-1: Prime Factorization of 93321

Prime factors of 93321 are 3, 10369. Prime factorization of 93321 in exponential form is:

93321 = 3² × 10369¹

Step-2: Prime Factorization of 93339

Prime factors of 93339 are 3, 3457. Prime factorization of 93339 in exponential form is:

93339 = 3³ × 3457¹

Step-3: Factors of 93321

List of positive integer factors of 93321 that divides 93321 without a remainder.

1, 3, 9, 10369, 31107

Step-4: Factors of 93339

List of positive integer factors of 93339 that divides 93321 without a remainder.

1, 3, 9, 27, 3457, 10371, 31113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93321 and 93339. The biggest common factor number is the GCF number.
So the greatest common factor 93321 and 93339 is 9.

Also check out the Least Common Multiple of 93321 and 93339