What is the Greatest Common Factor of 18855 and 18870?

Greatest common factor (GCF) of 18855 and 18870 is 15.

GCF(18855,18870) = 15

We will now calculate the prime factors of 18855 and 18870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18855 and 18870.

How to find the GCF of 18855 and 18870?

We will first find the prime factorization of 18855 and 18870. After we will calculate the factors of 18855 and 18870 and find the biggest common factor number .

Step-1: Prime Factorization of 18855

Prime factors of 18855 are 3, 5, 419. Prime factorization of 18855 in exponential form is:

18855 = 3² × 5¹ × 419¹

Step-2: Prime Factorization of 18870

Prime factors of 18870 are 2, 3, 5, 17, 37. Prime factorization of 18870 in exponential form is:

18870 = 2¹ × 3¹ × 5¹ × 17¹ × 37¹

Step-3: Factors of 18855

List of positive integer factors of 18855 that divides 18855 without a remainder.

1, 3, 5, 9, 15, 45, 419, 1257, 2095, 3771, 6285

Step-4: Factors of 18870

List of positive integer factors of 18870 that divides 18855 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 37, 51, 74, 85, 102, 111, 170, 185, 222, 255, 370, 510, 555, 629, 1110, 1258, 1887, 3145, 3774, 6290, 9435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18855 and 18870. The biggest common factor number is the GCF number.
So the greatest common factor 18855 and 18870 is 15.

Also check out the Least Common Multiple of 18855 and 18870