What is the Greatest Common Factor of 93387 and 93393?

Greatest common factor (GCF) of 93387 and 93393 is 3.

GCF(93387,93393) = 3

We will now calculate the prime factors of 93387 and 93393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93387 and 93393.

How to find the GCF of 93387 and 93393?

We will first find the prime factorization of 93387 and 93393. After we will calculate the factors of 93387 and 93393 and find the biggest common factor number .

Step-1: Prime Factorization of 93387

Prime factors of 93387 are 3, 7, 4447. Prime factorization of 93387 in exponential form is:

93387 = 3¹ × 7¹ × 4447¹

Step-2: Prime Factorization of 93393

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

93393 = 3⁴ × 1153¹

Step-3: Factors of 93387

List of positive integer factors of 93387 that divides 93387 without a remainder.

1, 3, 7, 21, 4447, 13341, 31129

Step-4: Factors of 93393

List of positive integer factors of 93393 that divides 93387 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93387 and 93393. The biggest common factor number is the GCF number.
So the greatest common factor 93387 and 93393 is 3.

Also check out the Least Common Multiple of 93387 and 93393