What is the Greatest Common Factor of 93328 and 93348?

Greatest common factor (GCF) of 93328 and 93348 is 4.

GCF(93328,93348) = 4

We will now calculate the prime factors of 93328 and 93348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93328 and 93348.

How to find the GCF of 93328 and 93348?

We will first find the prime factorization of 93328 and 93348. After we will calculate the factors of 93328 and 93348 and find the biggest common factor number .

Step-1: Prime Factorization of 93328

Prime factors of 93328 are 2, 19, 307. Prime factorization of 93328 in exponential form is:

93328 = 2⁴ × 19¹ × 307¹

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 93328

List of positive integer factors of 93328 that divides 93328 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304, 307, 614, 1228, 2456, 4912, 5833, 11666, 23332, 46664

Step-4: Factors of 93348

List of positive integer factors of 93348 that divides 93328 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 93328 and 93348. The biggest common factor number is the GCF number.
So the greatest common factor 93328 and 93348 is 4.

Also check out the Least Common Multiple of 93328 and 93348