What is the Greatest Common Factor of 93393 and 93399?

Greatest common factor (GCF) of 93393 and 93399 is 3.

GCF(93393,93399) = 3

We will now calculate the prime factors of 93393 and 93399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93393 and 93399.

How to find the GCF of 93393 and 93399?

We will first find the prime factorization of 93393 and 93399. After we will calculate the factors of 93393 and 93399 and find the biggest common factor number .

Step-1: Prime Factorization of 93393

Prime factors of 93393 are 3, 1153. Prime factorization of 93393 in exponential form is:

93393 = 3⁴ × 1153¹

Step-2: Prime Factorization of 93399

Prime factors of 93399 are 3, 163, 191. Prime factorization of 93399 in exponential form is:

93399 = 3¹ × 163¹ × 191¹

Step-3: Factors of 93393

List of positive integer factors of 93393 that divides 93393 without a remainder.

1, 3, 9, 27, 81, 1153, 3459, 10377, 31131

Step-4: Factors of 93399

List of positive integer factors of 93399 that divides 93393 without a remainder.

1, 3, 163, 191, 489, 573, 31133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93393 and 93399. The biggest common factor number is the GCF number.
So the greatest common factor 93393 and 93399 is 3.

Also check out the Least Common Multiple of 93393 and 93399