What is the Greatest Common Factor of 93288 and 93297?

Greatest common factor (GCF) of 93288 and 93297 is 3.

GCF(93288,93297) = 3

We will now calculate the prime factors of 93288 and 93297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93288 and 93297.

How to find the GCF of 93288 and 93297?

We will first find the prime factorization of 93288 and 93297. After we will calculate the factors of 93288 and 93297 and find the biggest common factor number .

Step-1: Prime Factorization of 93288

Prime factors of 93288 are 2, 3, 13, 23. Prime factorization of 93288 in exponential form is:

93288 = 2³ × 3¹ × 13² × 23¹

Step-2: Prime Factorization of 93297

Prime factors of 93297 are 3, 137, 227. Prime factorization of 93297 in exponential form is:

93297 = 3¹ × 137¹ × 227¹

Step-3: Factors of 93288

List of positive integer factors of 93288 that divides 93288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 169, 184, 276, 299, 312, 338, 507, 552, 598, 676, 897, 1014, 1196, 1352, 1794, 2028, 2392, 3588, 3887, 4056, 7176, 7774, 11661, 15548, 23322, 31096, 46644

Step-4: Factors of 93297

List of positive integer factors of 93297 that divides 93288 without a remainder.

1, 3, 137, 227, 411, 681, 31099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93288 and 93297. The biggest common factor number is the GCF number.
So the greatest common factor 93288 and 93297 is 3.

Also check out the Least Common Multiple of 93288 and 93297