What is the Greatest Common Factor of 33044 and 33059?

Greatest common factor (GCF) of 33044 and 33059 is 1.

GCF(33044,33059) = 1

We will now calculate the prime factors of 33044 and 33059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33044 and 33059.

How to find the GCF of 33044 and 33059?

We will first find the prime factorization of 33044 and 33059. After we will calculate the factors of 33044 and 33059 and find the biggest common factor number .

Step-1: Prime Factorization of 33044

Prime factors of 33044 are 2, 11, 751. Prime factorization of 33044 in exponential form is:

33044 = 2² × 11¹ × 751¹

Step-2: Prime Factorization of 33059

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

33059 = 13¹ × 2543¹

Step-3: Factors of 33044

List of positive integer factors of 33044 that divides 33044 without a remainder.

1, 2, 4, 11, 22, 44, 751, 1502, 3004, 8261, 16522

Step-4: Factors of 33059

List of positive integer factors of 33059 that divides 33044 without a remainder.

1, 13, 2543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33044 and 33059. The biggest common factor number is the GCF number.
So the greatest common factor 33044 and 33059 is 1.

Also check out the Least Common Multiple of 33044 and 33059