What is the Greatest Common Factor of 93375 and 93381?

Greatest common factor (GCF) of 93375 and 93381 is 3.

GCF(93375,93381) = 3

We will now calculate the prime factors of 93375 and 93381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93375 and 93381.

How to find the GCF of 93375 and 93381?

We will first find the prime factorization of 93375 and 93381. After we will calculate the factors of 93375 and 93381 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 93381

Prime factors of 93381 are 3, 17, 1831. Prime factorization of 93381 in exponential form is:

93381 = 3¹ × 17¹ × 1831¹

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 93381

List of positive integer factors of 93381 that divides 93375 without a remainder.

1, 3, 17, 51, 1831, 5493, 31127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93375 and 93381. The biggest common factor number is the GCF number.
So the greatest common factor 93375 and 93381 is 3.

Also check out the Least Common Multiple of 93375 and 93381