What is the Greatest Common Factor of 96294 and 96303?

Greatest common factor (GCF) of 96294 and 96303 is 3.

GCF(96294,96303) = 3

We will now calculate the prime factors of 96294 and 96303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96294 and 96303.

How to find the GCF of 96294 and 96303?

We will first find the prime factorization of 96294 and 96303. After we will calculate the factors of 96294 and 96303 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 96303

Prime factors of 96303 are 3, 47, 683. Prime factorization of 96303 in exponential form is:

96303 = 3¹ × 47¹ × 683¹

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 96303

List of positive integer factors of 96303 that divides 96294 without a remainder.

1, 3, 47, 141, 683, 2049, 32101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96294 and 96303. The biggest common factor number is the GCF number.
So the greatest common factor 96294 and 96303 is 3.

Also check out the Least Common Multiple of 96294 and 96303