What is the Greatest Common Factor of 96375 and 96379?

Greatest common factor (GCF) of 96375 and 96379 is 1.

GCF(96375,96379) = 1

We will now calculate the prime factors of 96375 and 96379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96375 and 96379.

How to find the GCF of 96375 and 96379?

We will first find the prime factorization of 96375 and 96379. After we will calculate the factors of 96375 and 96379 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 96379

Prime factors of 96379 are 31, 3109. Prime factorization of 96379 in exponential form is:

96379 = 31¹ × 3109¹

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 96379

List of positive integer factors of 96379 that divides 96375 without a remainder.

1, 31, 3109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96375 and 96379. The biggest common factor number is the GCF number.
So the greatest common factor 96375 and 96379 is 1.

Also check out the Least Common Multiple of 96375 and 96379