What is the Greatest Common Factor of 96303 and 96321?

Greatest common factor (GCF) of 96303 and 96321 is 3.

GCF(96303,96321) = 3

We will now calculate the prime factors of 96303 and 96321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96303 and 96321.

How to find the GCF of 96303 and 96321?

We will first find the prime factorization of 96303 and 96321. After we will calculate the factors of 96303 and 96321 and find the biggest common factor number .

Step-1: Prime Factorization of 96303

Prime factors of 96303 are 3, 47, 683. Prime factorization of 96303 in exponential form is:

96303 = 3¹ × 47¹ × 683¹

Step-2: Prime Factorization of 96321

Prime factors of 96321 are 3, 97, 331. Prime factorization of 96321 in exponential form is:

96321 = 3¹ × 97¹ × 331¹

Step-3: Factors of 96303

List of positive integer factors of 96303 that divides 96303 without a remainder.

1, 3, 47, 141, 683, 2049, 32101

Step-4: Factors of 96321

List of positive integer factors of 96321 that divides 96303 without a remainder.

1, 3, 97, 291, 331, 993, 32107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96303 and 96321. The biggest common factor number is the GCF number.
So the greatest common factor 96303 and 96321 is 3.

Also check out the Least Common Multiple of 96303 and 96321