What is the Greatest Common Factor of 36855 and 36870?

Greatest common factor (GCF) of 36855 and 36870 is 15.

GCF(36855,36870) = 15

We will now calculate the prime factors of 36855 and 36870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36855 and 36870.

How to find the GCF of 36855 and 36870?

We will first find the prime factorization of 36855 and 36870. After we will calculate the factors of 36855 and 36870 and find the biggest common factor number .

Step-1: Prime Factorization of 36855

Prime factors of 36855 are 3, 5, 7, 13. Prime factorization of 36855 in exponential form is:

36855 = 3⁴ × 5¹ × 7¹ × 13¹

Step-2: Prime Factorization of 36870

Prime factors of 36870 are 2, 3, 5, 1229. Prime factorization of 36870 in exponential form is:

36870 = 2¹ × 3¹ × 5¹ × 1229¹

Step-3: Factors of 36855

List of positive integer factors of 36855 that divides 36855 without a remainder.

1, 3, 5, 7, 9, 13, 15, 21, 27, 35, 39, 45, 63, 65, 81, 91, 105, 117, 135, 189, 195, 273, 315, 351, 405, 455, 567, 585, 819, 945, 1053, 1365, 1755, 2457, 2835, 4095, 5265, 7371, 12285

Step-4: Factors of 36870

List of positive integer factors of 36870 that divides 36855 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1229, 2458, 3687, 6145, 7374, 12290, 18435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36855 and 36870. The biggest common factor number is the GCF number.
So the greatest common factor 36855 and 36870 is 15.

Also check out the Least Common Multiple of 36855 and 36870