What is the Greatest Common Factor of 33849 and 33855?

Greatest common factor (GCF) of 33849 and 33855 is 3.

GCF(33849,33855) = 3

We will now calculate the prime factors of 33849 and 33855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33849 and 33855.

How to find the GCF of 33849 and 33855?

We will first find the prime factorization of 33849 and 33855. After we will calculate the factors of 33849 and 33855 and find the biggest common factor number .

Step-1: Prime Factorization of 33849

Prime factors of 33849 are 3, 3761. Prime factorization of 33849 in exponential form is:

33849 = 3² × 3761¹

Step-2: 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-3: Factors of 33849

List of positive integer factors of 33849 that divides 33849 without a remainder.

1, 3, 9, 3761, 11283

Step-4: Factors of 33855

List of positive integer factors of 33855 that divides 33849 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33849 and 33855. The biggest common factor number is the GCF number.
So the greatest common factor 33849 and 33855 is 3.

Also check out the Least Common Multiple of 33849 and 33855