What is the Greatest Common Factor of 96375 and 96393?

Greatest common factor (GCF) of 96375 and 96393 is 3.

GCF(96375,96393) = 3

We will now calculate the prime factors of 96375 and 96393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96375 and 96393.

How to find the GCF of 96375 and 96393?

We will first find the prime factorization of 96375 and 96393. After we will calculate the factors of 96375 and 96393 and find the biggest common factor number .

Step-1: Prime Factorization of 96375

Prime factors of 96375 are 3, 5, 257. Prime factorization of 96375 in exponential form is:

96375 = 3¹ × 5³ × 257¹

Step-2: Prime Factorization of 96393

Prime factors of 96393 are 3, 11, 23, 127. Prime factorization of 96393 in exponential form is:

96393 = 3¹ × 11¹ × 23¹ × 127¹

Step-3: Factors of 96375

List of positive integer factors of 96375 that divides 96375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 257, 375, 771, 1285, 3855, 6425, 19275, 32125

Step-4: Factors of 96393

List of positive integer factors of 96393 that divides 96375 without a remainder.

1, 3, 11, 23, 33, 69, 127, 253, 381, 759, 1397, 2921, 4191, 8763, 32131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96375 and 96393. The biggest common factor number is the GCF number.
So the greatest common factor 96375 and 96393 is 3.

Also check out the Least Common Multiple of 96375 and 96393