What is the Greatest Common Factor of 93336 and 93342?

Greatest common factor (GCF) of 93336 and 93342 is 6.

GCF(93336,93342) = 6

We will now calculate the prime factors of 93336 and 93342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93336 and 93342.

How to find the GCF of 93336 and 93342?

We will first find the prime factorization of 93336 and 93342. After we will calculate the factors of 93336 and 93342 and find the biggest common factor number .

Step-1: Prime Factorization of 93336

Prime factors of 93336 are 2, 3, 3889. Prime factorization of 93336 in exponential form is:

93336 = 2³ × 3¹ × 3889¹

Step-2: 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-3: Factors of 93336

List of positive integer factors of 93336 that divides 93336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3889, 7778, 11667, 15556, 23334, 31112, 46668

Step-4: Factors of 93342

List of positive integer factors of 93342 that divides 93336 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93336 and 93342. The biggest common factor number is the GCF number.
So the greatest common factor 93336 and 93342 is 6.

Also check out the Least Common Multiple of 93336 and 93342