What is the Greatest Common Factor of 33234 and 33249?

Greatest common factor (GCF) of 33234 and 33249 is 3.

GCF(33234,33249) = 3

We will now calculate the prime factors of 33234 and 33249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33234 and 33249.

How to find the GCF of 33234 and 33249?

We will first find the prime factorization of 33234 and 33249. After we will calculate the factors of 33234 and 33249 and find the biggest common factor number .

Step-1: Prime Factorization of 33234

Prime factors of 33234 are 2, 3, 29, 191. Prime factorization of 33234 in exponential form is:

33234 = 2¹ × 3¹ × 29¹ × 191¹

Step-2: Prime Factorization of 33249

Prime factors of 33249 are 3, 11083. Prime factorization of 33249 in exponential form is:

33249 = 3¹ × 11083¹

Step-3: Factors of 33234

List of positive integer factors of 33234 that divides 33234 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 191, 382, 573, 1146, 5539, 11078, 16617

Step-4: Factors of 33249

List of positive integer factors of 33249 that divides 33234 without a remainder.

1, 3, 11083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33234 and 33249. The biggest common factor number is the GCF number.
So the greatest common factor 33234 and 33249 is 3.

Also check out the Least Common Multiple of 33234 and 33249