What is the Greatest Common Factor of 93339 and 93357?

Greatest common factor (GCF) of 93339 and 93357 is 9.

GCF(93339,93357) = 9

We will now calculate the prime factors of 93339 and 93357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93339 and 93357.

How to find the GCF of 93339 and 93357?

We will first find the prime factorization of 93339 and 93357. After we will calculate the factors of 93339 and 93357 and find the biggest common factor number .

Step-1: Prime Factorization of 93339

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

93339 = 3³ × 3457¹

Step-2: Prime Factorization of 93357

Prime factors of 93357 are 3, 11, 23, 41. Prime factorization of 93357 in exponential form is:

93357 = 3² × 11¹ × 23¹ × 41¹

Step-3: Factors of 93339

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

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

Step-4: Factors of 93357

List of positive integer factors of 93357 that divides 93339 without a remainder.

1, 3, 9, 11, 23, 33, 41, 69, 99, 123, 207, 253, 369, 451, 759, 943, 1353, 2277, 2829, 4059, 8487, 10373, 31119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93339 and 93357. The biggest common factor number is the GCF number.
So the greatest common factor 93339 and 93357 is 9.

Also check out the Least Common Multiple of 93339 and 93357