What is the Greatest Common Factor of 33004 and 33021?

Greatest common factor (GCF) of 33004 and 33021 is 1.

GCF(33004,33021) = 1

We will now calculate the prime factors of 33004 and 33021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33004 and 33021.

How to find the GCF of 33004 and 33021?

We will first find the prime factorization of 33004 and 33021. After we will calculate the factors of 33004 and 33021 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 33021

Prime factors of 33021 are 3, 1223. Prime factorization of 33021 in exponential form is:

33021 = 3³ × 1223¹

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 33021

List of positive integer factors of 33021 that divides 33004 without a remainder.

1, 3, 9, 27, 1223, 3669, 11007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33004 and 33021. The biggest common factor number is the GCF number.
So the greatest common factor 33004 and 33021 is 1.

Also check out the Least Common Multiple of 33004 and 33021