What is the Greatest Common Factor of 33009 and 33028?

Greatest common factor (GCF) of 33009 and 33028 is 1.

GCF(33009,33028) = 1

We will now calculate the prime factors of 33009 and 33028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33009 and 33028.

How to find the GCF of 33009 and 33028?

We will first find the prime factorization of 33009 and 33028. After we will calculate the factors of 33009 and 33028 and find the biggest common factor number .

Step-1: Prime Factorization of 33009

Prime factors of 33009 are 3, 11003. Prime factorization of 33009 in exponential form is:

33009 = 3¹ × 11003¹

Step-2: Prime Factorization of 33028

Prime factors of 33028 are 2, 23, 359. Prime factorization of 33028 in exponential form is:

33028 = 2² × 23¹ × 359¹

Step-3: Factors of 33009

List of positive integer factors of 33009 that divides 33009 without a remainder.

1, 3, 11003

Step-4: Factors of 33028

List of positive integer factors of 33028 that divides 33009 without a remainder.

1, 2, 4, 23, 46, 92, 359, 718, 1436, 8257, 16514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33009 and 33028. The biggest common factor number is the GCF number.
So the greatest common factor 33009 and 33028 is 1.

Also check out the Least Common Multiple of 33009 and 33028