What is the Greatest Common Factor of 33855 and 33870?

Greatest common factor (GCF) of 33855 and 33870 is 15.

GCF(33855,33870) = 15

We will now calculate the prime factors of 33855 and 33870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33855 and 33870.

How to find the GCF of 33855 and 33870?

We will first find the prime factorization of 33855 and 33870. After we will calculate the factors of 33855 and 33870 and find the biggest common factor number .

Step-1: Prime Factorization of 33855

Prime factors of 33855 are 3, 5, 37, 61. Prime factorization of 33855 in exponential form is:

33855 = 3¹ × 5¹ × 37¹ × 61¹

Step-2: Prime Factorization of 33870

Prime factors of 33870 are 2, 3, 5, 1129. Prime factorization of 33870 in exponential form is:

33870 = 2¹ × 3¹ × 5¹ × 1129¹

Step-3: Factors of 33855

List of positive integer factors of 33855 that divides 33855 without a remainder.

1, 3, 5, 15, 37, 61, 111, 183, 185, 305, 555, 915, 2257, 6771, 11285

Step-4: Factors of 33870

List of positive integer factors of 33870 that divides 33855 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1129, 2258, 3387, 5645, 6774, 11290, 16935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33855 and 33870. The biggest common factor number is the GCF number.
So the greatest common factor 33855 and 33870 is 15.

Also check out the Least Common Multiple of 33855 and 33870