What is the Greatest Common Factor of 96306 and 96317?

Greatest common factor (GCF) of 96306 and 96317 is 1.

GCF(96306,96317) = 1

We will now calculate the prime factors of 96306 and 96317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96306 and 96317.

How to find the GCF of 96306 and 96317?

We will first find the prime factorization of 96306 and 96317. After we will calculate the factors of 96306 and 96317 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 96317

Prime factors of 96317 are 13, 31, 239. Prime factorization of 96317 in exponential form is:

96317 = 13¹ × 31¹ × 239¹

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 96317

List of positive integer factors of 96317 that divides 96306 without a remainder.

1, 13, 31, 239, 403, 3107, 7409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96306 and 96317. The biggest common factor number is the GCF number.
So the greatest common factor 96306 and 96317 is 1.

Also check out the Least Common Multiple of 96306 and 96317