What is the Greatest Common Factor of 96321 and 96330?

Greatest common factor (GCF) of 96321 and 96330 is 3.

GCF(96321,96330) = 3

We will now calculate the prime factors of 96321 and 96330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96321 and 96330.

How to find the GCF of 96321 and 96330?

We will first find the prime factorization of 96321 and 96330. After we will calculate the factors of 96321 and 96330 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96330

Prime factors of 96330 are 2, 3, 5, 13, 19. Prime factorization of 96330 in exponential form is:

96330 = 2¹ × 3¹ × 5¹ × 13² × 19¹

Step-3: Factors of 96321

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

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

Step-4: Factors of 96330

List of positive integer factors of 96330 that divides 96321 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 19, 26, 30, 38, 39, 57, 65, 78, 95, 114, 130, 169, 190, 195, 247, 285, 338, 390, 494, 507, 570, 741, 845, 1014, 1235, 1482, 1690, 2470, 2535, 3211, 3705, 5070, 6422, 7410, 9633, 16055, 19266, 32110, 48165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96321 and 96330. The biggest common factor number is the GCF number.
So the greatest common factor 96321 and 96330 is 3.

Also check out the Least Common Multiple of 96321 and 96330