What is the Greatest Common Factor of 93855 and 93870?

Greatest common factor (GCF) of 93855 and 93870 is 15.

GCF(93855,93870) = 15

We will now calculate the prime factors of 93855 and 93870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93855 and 93870.

How to find the GCF of 93855 and 93870?

We will first find the prime factorization of 93855 and 93870. After we will calculate the factors of 93855 and 93870 and find the biggest common factor number .

Step-1: Prime Factorization of 93855

Prime factors of 93855 are 3, 5, 6257. Prime factorization of 93855 in exponential form is:

93855 = 3¹ × 5¹ × 6257¹

Step-2: Prime Factorization of 93870

Prime factors of 93870 are 2, 3, 5, 7, 149. Prime factorization of 93870 in exponential form is:

93870 = 2¹ × 3² × 5¹ × 7¹ × 149¹

Step-3: Factors of 93855

List of positive integer factors of 93855 that divides 93855 without a remainder.

1, 3, 5, 15, 6257, 18771, 31285

Step-4: Factors of 93870

List of positive integer factors of 93870 that divides 93855 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 149, 210, 298, 315, 447, 630, 745, 894, 1043, 1341, 1490, 2086, 2235, 2682, 3129, 4470, 5215, 6258, 6705, 9387, 10430, 13410, 15645, 18774, 31290, 46935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93855 and 93870. The biggest common factor number is the GCF number.
So the greatest common factor 93855 and 93870 is 15.

Also check out the Least Common Multiple of 93855 and 93870