What is the Greatest Common Factor of 93795 and 93805?

Greatest common factor (GCF) of 93795 and 93805 is 5.

GCF(93795,93805) = 5

We will now calculate the prime factors of 93795 and 93805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93795 and 93805.

How to find the GCF of 93795 and 93805?

We will first find the prime factorization of 93795 and 93805. After we will calculate the factors of 93795 and 93805 and find the biggest common factor number .

Step-1: Prime Factorization of 93795

Prime factors of 93795 are 3, 5, 13, 37. Prime factorization of 93795 in exponential form is:

93795 = 3¹ × 5¹ × 13² × 37¹

Step-2: Prime Factorization of 93805

Prime factors of 93805 are 5, 73, 257. Prime factorization of 93805 in exponential form is:

93805 = 5¹ × 73¹ × 257¹

Step-3: Factors of 93795

List of positive integer factors of 93795 that divides 93795 without a remainder.

1, 3, 5, 13, 15, 37, 39, 65, 111, 169, 185, 195, 481, 507, 555, 845, 1443, 2405, 2535, 6253, 7215, 18759, 31265

Step-4: Factors of 93805

List of positive integer factors of 93805 that divides 93795 without a remainder.

1, 5, 73, 257, 365, 1285, 18761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93795 and 93805. The biggest common factor number is the GCF number.
So the greatest common factor 93795 and 93805 is 5.

Also check out the Least Common Multiple of 93795 and 93805