What is the Greatest Common Factor of 93348 and 93360?

Greatest common factor (GCF) of 93348 and 93360 is 12.

GCF(93348,93360) = 12

We will now calculate the prime factors of 93348 and 93360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93348 and 93360.

How to find the GCF of 93348 and 93360?

We will first find the prime factorization of 93348 and 93360. After we will calculate the factors of 93348 and 93360 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93360

Prime factors of 93360 are 2, 3, 5, 389. Prime factorization of 93360 in exponential form is:

93360 = 2⁴ × 3¹ × 5¹ × 389¹

Step-3: Factors of 93348

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

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

Step-4: Factors of 93360

List of positive integer factors of 93360 that divides 93348 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 389, 778, 1167, 1556, 1945, 2334, 3112, 3890, 4668, 5835, 6224, 7780, 9336, 11670, 15560, 18672, 23340, 31120, 46680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93348 and 93360. The biggest common factor number is the GCF number.
So the greatest common factor 93348 and 93360 is 12.

Also check out the Least Common Multiple of 93348 and 93360