What is the Greatest Common Factor of 33004 and 33019?

Greatest common factor (GCF) of 33004 and 33019 is 1.

GCF(33004,33019) = 1

We will now calculate the prime factors of 33004 and 33019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33004 and 33019.

How to find the GCF of 33004 and 33019?

We will first find the prime factorization of 33004 and 33019. After we will calculate the factors of 33004 and 33019 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 33019

Prime factors of 33019 are 7, 53, 89. Prime factorization of 33019 in exponential form is:

33019 = 7¹ × 53¹ × 89¹

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 33019

List of positive integer factors of 33019 that divides 33004 without a remainder.

1, 7, 53, 89, 371, 623, 4717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33004 and 33019. The biggest common factor number is the GCF number.
So the greatest common factor 33004 and 33019 is 1.

Also check out the Least Common Multiple of 33004 and 33019