What is the Greatest Common Factor of 96333 and 96348?

Greatest common factor (GCF) of 96333 and 96348 is 3.

GCF(96333,96348) = 3

We will now calculate the prime factors of 96333 and 96348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96333 and 96348.

How to find the GCF of 96333 and 96348?

We will first find the prime factorization of 96333 and 96348. After we will calculate the factors of 96333 and 96348 and find the biggest common factor number .

Step-1: Prime Factorization of 96333

Prime factors of 96333 are 3, 163, 197. Prime factorization of 96333 in exponential form is:

96333 = 3¹ × 163¹ × 197¹

Step-2: Prime Factorization of 96348

Prime factors of 96348 are 2, 3, 7, 31, 37. Prime factorization of 96348 in exponential form is:

96348 = 2² × 3¹ × 7¹ × 31¹ × 37¹

Step-3: Factors of 96333

List of positive integer factors of 96333 that divides 96333 without a remainder.

1, 3, 163, 197, 489, 591, 32111

Step-4: Factors of 96348

List of positive integer factors of 96348 that divides 96333 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 37, 42, 62, 74, 84, 93, 111, 124, 148, 186, 217, 222, 259, 372, 434, 444, 518, 651, 777, 868, 1036, 1147, 1302, 1554, 2294, 2604, 3108, 3441, 4588, 6882, 8029, 13764, 16058, 24087, 32116, 48174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96333 and 96348. The biggest common factor number is the GCF number.
So the greatest common factor 96333 and 96348 is 3.

Also check out the Least Common Multiple of 96333 and 96348