What is the Greatest Common Factor of 96325 and 96330?

Greatest common factor (GCF) of 96325 and 96330 is 5.

GCF(96325,96330) = 5

We will now calculate the prime factors of 96325 and 96330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96325 and 96330.

How to find the GCF of 96325 and 96330?

We will first find the prime factorization of 96325 and 96330. After we will calculate the factors of 96325 and 96330 and find the biggest common factor number .

Step-1: Prime Factorization of 96325

Prime factors of 96325 are 5, 3853. Prime factorization of 96325 in exponential form is:

96325 = 5² × 3853¹

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 96325

List of positive integer factors of 96325 that divides 96325 without a remainder.

1, 5, 25, 3853, 19265

Step-4: Factors of 96330

List of positive integer factors of 96330 that divides 96325 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 96325 and 96330. The biggest common factor number is the GCF number.
So the greatest common factor 96325 and 96330 is 5.

Also check out the Least Common Multiple of 96325 and 96330