What is the Greatest Common Factor of 33069 and 33073?

Greatest common factor (GCF) of 33069 and 33073 is 1.

GCF(33069,33073) = 1

We will now calculate the prime factors of 33069 and 33073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33069 and 33073.

How to find the GCF of 33069 and 33073?

We will first find the prime factorization of 33069 and 33073. After we will calculate the factors of 33069 and 33073 and find the biggest common factor number .

Step-1: Prime Factorization of 33069

Prime factors of 33069 are 3, 73, 151. Prime factorization of 33069 in exponential form is:

33069 = 3¹ × 73¹ × 151¹

Step-2: Prime Factorization of 33073

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

33073 = 33073¹

Step-3: Factors of 33069

List of positive integer factors of 33069 that divides 33069 without a remainder.

1, 3, 73, 151, 219, 453, 11023

Step-4: Factors of 33073

List of positive integer factors of 33073 that divides 33069 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33069 and 33073. The biggest common factor number is the GCF number.
So the greatest common factor 33069 and 33073 is 1.

Also check out the Least Common Multiple of 33069 and 33073