What is the Greatest Common Factor of 33004 and 33018?

Greatest common factor (GCF) of 33004 and 33018 is 2.

GCF(33004,33018) = 2

We will now calculate the prime factors of 33004 and 33018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33004 and 33018.

How to find the GCF of 33004 and 33018?

We will first find the prime factorization of 33004 and 33018. After we will calculate the factors of 33004 and 33018 and find the biggest common factor number .

Step-1: Prime Factorization of 33004

Prime factors of 33004 are 2, 37, 223. Prime factorization of 33004 in exponential form is:

33004 = 2² × 37¹ × 223¹

Step-2: Prime Factorization of 33018

Prime factors of 33018 are 2, 3, 5503. Prime factorization of 33018 in exponential form is:

33018 = 2¹ × 3¹ × 5503¹

Step-3: Factors of 33004

List of positive integer factors of 33004 that divides 33004 without a remainder.

1, 2, 4, 37, 74, 148, 223, 446, 892, 8251, 16502

Step-4: Factors of 33018

List of positive integer factors of 33018 that divides 33004 without a remainder.

1, 2, 3, 6, 5503, 11006, 16509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33004 and 33018. The biggest common factor number is the GCF number.
So the greatest common factor 33004 and 33018 is 2.

Also check out the Least Common Multiple of 33004 and 33018