What is the Greatest Common Factor of 96310 and 96330?

Greatest common factor (GCF) of 96310 and 96330 is 10.

GCF(96310,96330) = 10

We will now calculate the prime factors of 96310 and 96330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96310 and 96330.

How to find the GCF of 96310 and 96330?

We will first find the prime factorization of 96310 and 96330. After we will calculate the factors of 96310 and 96330 and find the biggest common factor number .

Step-1: Prime Factorization of 96310

Prime factors of 96310 are 2, 5, 9631. Prime factorization of 96310 in exponential form is:

96310 = 2¹ × 5¹ × 9631¹

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 96310

List of positive integer factors of 96310 that divides 96310 without a remainder.

1, 2, 5, 10, 9631, 19262, 48155

Step-4: Factors of 96330

List of positive integer factors of 96330 that divides 96310 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 96310 and 96330. The biggest common factor number is the GCF number.
So the greatest common factor 96310 and 96330 is 10.

Also check out the Least Common Multiple of 96310 and 96330