What is the Greatest Common Factor of 96288 and 96294?

Greatest common factor (GCF) of 96288 and 96294 is 6.

GCF(96288,96294) = 6

We will now calculate the prime factors of 96288 and 96294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96288 and 96294.

How to find the GCF of 96288 and 96294?

We will first find the prime factorization of 96288 and 96294. After we will calculate the factors of 96288 and 96294 and find the biggest common factor number .

Step-1: Prime Factorization of 96288

Prime factors of 96288 are 2, 3, 17, 59. Prime factorization of 96288 in exponential form is:

96288 = 2⁵ × 3¹ × 17¹ × 59¹

Step-2: 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-3: Factors of 96288

List of positive integer factors of 96288 that divides 96288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 59, 68, 96, 102, 118, 136, 177, 204, 236, 272, 354, 408, 472, 544, 708, 816, 944, 1003, 1416, 1632, 1888, 2006, 2832, 3009, 4012, 5664, 6018, 8024, 12036, 16048, 24072, 32096, 48144

Step-4: Factors of 96294

List of positive integer factors of 96294 that divides 96288 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96288 and 96294. The biggest common factor number is the GCF number.
So the greatest common factor 96288 and 96294 is 6.

Also check out the Least Common Multiple of 96288 and 96294