What is the Greatest Common Factor of 93789 and 93795?

Greatest common factor (GCF) of 93789 and 93795 is 3.

GCF(93789,93795) = 3

We will now calculate the prime factors of 93789 and 93795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93789 and 93795.

How to find the GCF of 93789 and 93795?

We will first find the prime factorization of 93789 and 93795. After we will calculate the factors of 93789 and 93795 and find the biggest common factor number .

Step-1: Prime Factorization of 93789

Prime factors of 93789 are 3, 17, 613. Prime factorization of 93789 in exponential form is:

93789 = 3² × 17¹ × 613¹

Step-2: 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-3: Factors of 93789

List of positive integer factors of 93789 that divides 93789 without a remainder.

1, 3, 9, 17, 51, 153, 613, 1839, 5517, 10421, 31263

Step-4: Factors of 93795

List of positive integer factors of 93795 that divides 93789 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93789 and 93795. The biggest common factor number is the GCF number.
So the greatest common factor 93789 and 93795 is 3.

Also check out the Least Common Multiple of 93789 and 93795