What is the Greatest Common Factor of 96375 and 96395?

Greatest common factor (GCF) of 96375 and 96395 is 5.

GCF(96375,96395) = 5

We will now calculate the prime factors of 96375 and 96395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96375 and 96395.

How to find the GCF of 96375 and 96395?

We will first find the prime factorization of 96375 and 96395. After we will calculate the factors of 96375 and 96395 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 96395

Prime factors of 96395 are 5, 13, 1483. Prime factorization of 96395 in exponential form is:

96395 = 5¹ × 13¹ × 1483¹

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 96395

List of positive integer factors of 96395 that divides 96375 without a remainder.

1, 5, 13, 65, 1483, 7415, 19279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96375 and 96395. The biggest common factor number is the GCF number.
So the greatest common factor 96375 and 96395 is 5.

Also check out the Least Common Multiple of 96375 and 96395