What is the Greatest Common Factor of 96306 and 96322?

Greatest common factor (GCF) of 96306 and 96322 is 2.

GCF(96306,96322) = 2

We will now calculate the prime factors of 96306 and 96322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96306 and 96322.

How to find the GCF of 96306 and 96322?

We will first find the prime factorization of 96306 and 96322. After we will calculate the factors of 96306 and 96322 and find the biggest common factor number .

Step-1: Prime Factorization of 96306

Prime factors of 96306 are 2, 3, 7, 2293. Prime factorization of 96306 in exponential form is:

96306 = 2¹ × 3¹ × 7¹ × 2293¹

Step-2: 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-3: Factors of 96306

List of positive integer factors of 96306 that divides 96306 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2293, 4586, 6879, 13758, 16051, 32102, 48153

Step-4: Factors of 96322

List of positive integer factors of 96322 that divides 96306 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96306 and 96322. The biggest common factor number is the GCF number.
So the greatest common factor 96306 and 96322 is 2.

Also check out the Least Common Multiple of 96306 and 96322