What is the Greatest Common Factor of 93357 and 93368?

Greatest common factor (GCF) of 93357 and 93368 is 11.

GCF(93357,93368) = 11

We will now calculate the prime factors of 93357 and 93368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93357 and 93368.

How to find the GCF of 93357 and 93368?

We will first find the prime factorization of 93357 and 93368. After we will calculate the factors of 93357 and 93368 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93368

Prime factors of 93368 are 2, 11, 1061. Prime factorization of 93368 in exponential form is:

93368 = 2³ × 11¹ × 1061¹

Step-3: Factors of 93357

List of positive integer factors of 93357 that divides 93357 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

Step-4: Factors of 93368

List of positive integer factors of 93368 that divides 93357 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1061, 2122, 4244, 8488, 11671, 23342, 46684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93357 and 93368. The biggest common factor number is the GCF number.
So the greatest common factor 93357 and 93368 is 11.

Also check out the Least Common Multiple of 93357 and 93368