What is the Greatest Common Factor of 33059 and 33073?

Greatest common factor (GCF) of 33059 and 33073 is 1.

GCF(33059,33073) = 1

We will now calculate the prime factors of 33059 and 33073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33059 and 33073.

How to find the GCF of 33059 and 33073?

We will first find the prime factorization of 33059 and 33073. After we will calculate the factors of 33059 and 33073 and find the biggest common factor number .

Step-1: Prime Factorization of 33059

Prime factors of 33059 are 13, 2543. Prime factorization of 33059 in exponential form is:

33059 = 13¹ × 2543¹

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 33059

List of positive integer factors of 33059 that divides 33059 without a remainder.

1, 13, 2543

Step-4: Factors of 33073

List of positive integer factors of 33073 that divides 33059 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33059 and 33073. The biggest common factor number is the GCF number.
So the greatest common factor 33059 and 33073 is 1.

Also check out the Least Common Multiple of 33059 and 33073