What is the Greatest Common Factor of 93375 and 93387?

Greatest common factor (GCF) of 93375 and 93387 is 3.

GCF(93375,93387) = 3

We will now calculate the prime factors of 93375 and 93387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93375 and 93387.

How to find the GCF of 93375 and 93387?

We will first find the prime factorization of 93375 and 93387. After we will calculate the factors of 93375 and 93387 and find the biggest common factor number .

Step-1: Prime Factorization of 93375

Prime factors of 93375 are 3, 5, 83. Prime factorization of 93375 in exponential form is:

93375 = 3² × 5³ × 83¹

Step-2: Prime Factorization of 93387

Prime factors of 93387 are 3, 7, 4447. Prime factorization of 93387 in exponential form is:

93387 = 3¹ × 7¹ × 4447¹

Step-3: Factors of 93375

List of positive integer factors of 93375 that divides 93375 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 83, 125, 225, 249, 375, 415, 747, 1125, 1245, 2075, 3735, 6225, 10375, 18675, 31125

Step-4: Factors of 93387

List of positive integer factors of 93387 that divides 93375 without a remainder.

1, 3, 7, 21, 4447, 13341, 31129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93375 and 93387. The biggest common factor number is the GCF number.
So the greatest common factor 93375 and 93387 is 3.

Also check out the Least Common Multiple of 93375 and 93387