What is the Greatest Common Factor of 93870 and 93885?

Greatest common factor (GCF) of 93870 and 93885 is 15.

GCF(93870,93885) = 15

We will now calculate the prime factors of 93870 and 93885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93870 and 93885.

How to find the GCF of 93870 and 93885?

We will first find the prime factorization of 93870 and 93885. After we will calculate the factors of 93870 and 93885 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 93870

List of positive integer factors of 93870 that divides 93870 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

Step-4: Factors of 93885

List of positive integer factors of 93885 that divides 93870 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93870 and 93885. The biggest common factor number is the GCF number.
So the greatest common factor 93870 and 93885 is 15.

Also check out the Least Common Multiple of 93870 and 93885