What is the Greatest Common Factor of 96322 and 96330?

Greatest common factor (GCF) of 96322 and 96330 is 2.

GCF(96322,96330) = 2

We will now calculate the prime factors of 96322 and 96330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96322 and 96330.

How to find the GCF of 96322 and 96330?

We will first find the prime factorization of 96322 and 96330. After we will calculate the factors of 96322 and 96330 and find the biggest common factor number .

Step-1: Prime Factorization of 96322

Prime factors of 96322 are 2, 17, 2833. Prime factorization of 96322 in exponential form is:

96322 = 2¹ × 17¹ × 2833¹

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 96322

List of positive integer factors of 96322 that divides 96322 without a remainder.

1, 2, 17, 34, 2833, 5666, 48161

Step-4: Factors of 96330

List of positive integer factors of 96330 that divides 96322 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 96322 and 96330. The biggest common factor number is the GCF number.
So the greatest common factor 96322 and 96330 is 2.

Also check out the Least Common Multiple of 96322 and 96330