What is the Greatest Common Factor of 33305 and 33310?

Greatest common factor (GCF) of 33305 and 33310 is 5.

GCF(33305,33310) = 5

We will now calculate the prime factors of 33305 and 33310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33305 and 33310.

How to find the GCF of 33305 and 33310?

We will first find the prime factorization of 33305 and 33310. After we will calculate the factors of 33305 and 33310 and find the biggest common factor number .

Step-1: Prime Factorization of 33305

Prime factors of 33305 are 5, 6661. Prime factorization of 33305 in exponential form is:

33305 = 5¹ × 6661¹

Step-2: Prime Factorization of 33310

Prime factors of 33310 are 2, 5, 3331. Prime factorization of 33310 in exponential form is:

33310 = 2¹ × 5¹ × 3331¹

Step-3: Factors of 33305

List of positive integer factors of 33305 that divides 33305 without a remainder.

1, 5, 6661

Step-4: Factors of 33310

List of positive integer factors of 33310 that divides 33305 without a remainder.

1, 2, 5, 10, 3331, 6662, 16655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33305 and 33310. The biggest common factor number is the GCF number.
So the greatest common factor 33305 and 33310 is 5.

Also check out the Least Common Multiple of 33305 and 33310