What is the Greatest Common Factor of 93320 and 93328?

Greatest common factor (GCF) of 93320 and 93328 is 8.

GCF(93320,93328) = 8

We will now calculate the prime factors of 93320 and 93328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93320 and 93328.

How to find the GCF of 93320 and 93328?

We will first find the prime factorization of 93320 and 93328. After we will calculate the factors of 93320 and 93328 and find the biggest common factor number .

Step-1: Prime Factorization of 93320

Prime factors of 93320 are 2, 5, 2333. Prime factorization of 93320 in exponential form is:

93320 = 2³ × 5¹ × 2333¹

Step-2: 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-3: Factors of 93320

List of positive integer factors of 93320 that divides 93320 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2333, 4666, 9332, 11665, 18664, 23330, 46660

Step-4: Factors of 93328

List of positive integer factors of 93328 that divides 93320 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93320 and 93328. The biggest common factor number is the GCF number.
So the greatest common factor 93320 and 93328 is 8.

Also check out the Least Common Multiple of 93320 and 93328