What is the Greatest Common Factor of 93885 and 93894?

Greatest common factor (GCF) of 93885 and 93894 is 3.

GCF(93885,93894) = 3

We will now calculate the prime factors of 93885 and 93894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93885 and 93894.

How to find the GCF of 93885 and 93894?

We will first find the prime factorization of 93885 and 93894. After we will calculate the factors of 93885 and 93894 and find the biggest common factor number .

Step-1: Prime Factorization of 93885

Prime factors of 93885 are 3, 5, 11, 569. Prime factorization of 93885 in exponential form is:

93885 = 3¹ × 5¹ × 11¹ × 569¹

Step-2: Prime Factorization of 93894

Prime factors of 93894 are 2, 3, 15649. Prime factorization of 93894 in exponential form is:

93894 = 2¹ × 3¹ × 15649¹

Step-3: Factors of 93885

List of positive integer factors of 93885 that divides 93885 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 569, 1707, 2845, 6259, 8535, 18777, 31295

Step-4: Factors of 93894

List of positive integer factors of 93894 that divides 93885 without a remainder.

1, 2, 3, 6, 15649, 31298, 46947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93885 and 93894. The biggest common factor number is the GCF number.
So the greatest common factor 93885 and 93894 is 3.

Also check out the Least Common Multiple of 93885 and 93894