What is the Greatest Common Factor of 93342 and 93357?

Greatest common factor (GCF) of 93342 and 93357 is 3.

GCF(93342,93357) = 3

We will now calculate the prime factors of 93342 and 93357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93342 and 93357.

How to find the GCF of 93342 and 93357?

We will first find the prime factorization of 93342 and 93357. After we will calculate the factors of 93342 and 93357 and find the biggest common factor number .

Step-1: Prime Factorization of 93342

Prime factors of 93342 are 2, 3, 47, 331. Prime factorization of 93342 in exponential form is:

93342 = 2¹ × 3¹ × 47¹ × 331¹

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 93342

List of positive integer factors of 93342 that divides 93342 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282, 331, 662, 993, 1986, 15557, 31114, 46671

Step-4: Factors of 93357

List of positive integer factors of 93357 that divides 93342 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 93342 and 93357. The biggest common factor number is the GCF number.
So the greatest common factor 93342 and 93357 is 3.

Also check out the Least Common Multiple of 93342 and 93357