What is the Greatest Common Factor of 96330 and 96340?

Greatest common factor (GCF) of 96330 and 96340 is 10.

GCF(96330,96340) = 10

We will now calculate the prime factors of 96330 and 96340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96330 and 96340.

How to find the GCF of 96330 and 96340?

We will first find the prime factorization of 96330 and 96340. After we will calculate the factors of 96330 and 96340 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96340

Prime factors of 96340 are 2, 5, 4817. Prime factorization of 96340 in exponential form is:

96340 = 2² × 5¹ × 4817¹

Step-3: Factors of 96330

List of positive integer factors of 96330 that divides 96330 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

Step-4: Factors of 96340

List of positive integer factors of 96340 that divides 96330 without a remainder.

1, 2, 4, 5, 10, 20, 4817, 9634, 19268, 24085, 48170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96330 and 96340. The biggest common factor number is the GCF number.
So the greatest common factor 96330 and 96340 is 10.

Also check out the Least Common Multiple of 96330 and 96340