What is the Greatest Common Factor of 33304 and 33315?

Greatest common factor (GCF) of 33304 and 33315 is 1.

GCF(33304,33315) = 1

We will now calculate the prime factors of 33304 and 33315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33304 and 33315.

How to find the GCF of 33304 and 33315?

We will first find the prime factorization of 33304 and 33315. After we will calculate the factors of 33304 and 33315 and find the biggest common factor number .

Step-1: Prime Factorization of 33304

Prime factors of 33304 are 2, 23, 181. Prime factorization of 33304 in exponential form is:

33304 = 2³ × 23¹ × 181¹

Step-2: Prime Factorization of 33315

Prime factors of 33315 are 3, 5, 2221. Prime factorization of 33315 in exponential form is:

33315 = 3¹ × 5¹ × 2221¹

Step-3: Factors of 33304

List of positive integer factors of 33304 that divides 33304 without a remainder.

1, 2, 4, 8, 23, 46, 92, 181, 184, 362, 724, 1448, 4163, 8326, 16652

Step-4: Factors of 33315

List of positive integer factors of 33315 that divides 33304 without a remainder.

1, 3, 5, 15, 2221, 6663, 11105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33304 and 33315. The biggest common factor number is the GCF number.
So the greatest common factor 33304 and 33315 is 1.

Also check out the Least Common Multiple of 33304 and 33315