What is the Greatest Common Factor of 33073 and 33084?

Greatest common factor (GCF) of 33073 and 33084 is 1.

GCF(33073,33084) = 1

We will now calculate the prime factors of 33073 and 33084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33073 and 33084.

How to find the GCF of 33073 and 33084?

We will first find the prime factorization of 33073 and 33084. After we will calculate the factors of 33073 and 33084 and find the biggest common factor number .

Step-1: Prime Factorization of 33073

Prime factors of 33073 are 33073. Prime factorization of 33073 in exponential form is:

33073 = 33073¹

Step-2: Prime Factorization of 33084

Prime factors of 33084 are 2, 3, 919. Prime factorization of 33084 in exponential form is:

33084 = 2² × 3² × 919¹

Step-3: Factors of 33073

List of positive integer factors of 33073 that divides 33073 without a remainder.

Step-4: Factors of 33084

List of positive integer factors of 33084 that divides 33073 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 919, 1838, 2757, 3676, 5514, 8271, 11028, 16542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33073 and 33084. The biggest common factor number is the GCF number.
So the greatest common factor 33073 and 33084 is 1.

Also check out the Least Common Multiple of 33073 and 33084