What is the Greatest Common Factor of 96294 and 96306?

Greatest common factor (GCF) of 96294 and 96306 is 6.

GCF(96294,96306) = 6

We will now calculate the prime factors of 96294 and 96306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96294 and 96306.

How to find the GCF of 96294 and 96306?

We will first find the prime factorization of 96294 and 96306. After we will calculate the factors of 96294 and 96306 and find the biggest common factor number .

Step-1: Prime Factorization of 96294

Prime factors of 96294 are 2, 3, 11, 1459. Prime factorization of 96294 in exponential form is:

96294 = 2¹ × 3¹ × 11¹ × 1459¹

Step-2: 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-3: Factors of 96294

List of positive integer factors of 96294 that divides 96294 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1459, 2918, 4377, 8754, 16049, 32098, 48147

Step-4: Factors of 96306

List of positive integer factors of 96306 that divides 96294 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96294 and 96306. The biggest common factor number is the GCF number.
So the greatest common factor 96294 and 96306 is 6.

Also check out the Least Common Multiple of 96294 and 96306