What is the Greatest Common Factor of 33870 and 33885?

Greatest common factor (GCF) of 33870 and 33885 is 15.

GCF(33870,33885) = 15

We will now calculate the prime factors of 33870 and 33885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33870 and 33885.

How to find the GCF of 33870 and 33885?

We will first find the prime factorization of 33870 and 33885. After we will calculate the factors of 33870 and 33885 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33885

Prime factors of 33885 are 3, 5, 251. Prime factorization of 33885 in exponential form is:

33885 = 3³ × 5¹ × 251¹

Step-3: Factors of 33870

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

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

Step-4: Factors of 33885

List of positive integer factors of 33885 that divides 33870 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 251, 753, 1255, 2259, 3765, 6777, 11295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33870 and 33885. The biggest common factor number is the GCF number.
So the greatest common factor 33870 and 33885 is 15.

Also check out the Least Common Multiple of 33870 and 33885