What is the Greatest Common Factor of 93336 and 93348?

Greatest common factor (GCF) of 93336 and 93348 is 12.

GCF(93336,93348) = 12

We will now calculate the prime factors of 93336 and 93348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93336 and 93348.

How to find the GCF of 93336 and 93348?

We will first find the prime factorization of 93336 and 93348. After we will calculate the factors of 93336 and 93348 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 93348

Prime factors of 93348 are 2, 3, 2593. Prime factorization of 93348 in exponential form is:

93348 = 2² × 3² × 2593¹

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 93348

List of positive integer factors of 93348 that divides 93336 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2593, 5186, 7779, 10372, 15558, 23337, 31116, 46674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93336 and 93348. The biggest common factor number is the GCF number.
So the greatest common factor 93336 and 93348 is 12.

Also check out the Least Common Multiple of 93336 and 93348