What is the Greatest Common Factor of 93346 and 93357?

Greatest common factor (GCF) of 93346 and 93357 is 11.

GCF(93346,93357) = 11

We will now calculate the prime factors of 93346 and 93357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93346 and 93357.

How to find the GCF of 93346 and 93357?

We will first find the prime factorization of 93346 and 93357. After we will calculate the factors of 93346 and 93357 and find the biggest common factor number .

Step-1: Prime Factorization of 93346

Prime factors of 93346 are 2, 11, 4243. Prime factorization of 93346 in exponential form is:

93346 = 2¹ × 11¹ × 4243¹

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 93346

List of positive integer factors of 93346 that divides 93346 without a remainder.

1, 2, 11, 22, 4243, 8486, 46673

Step-4: Factors of 93357

List of positive integer factors of 93357 that divides 93346 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 93346 and 93357. The biggest common factor number is the GCF number.
So the greatest common factor 93346 and 93357 is 11.

Also check out the Least Common Multiple of 93346 and 93357