What is the Greatest Common Factor of 33050 and 33059?

Greatest common factor (GCF) of 33050 and 33059 is 1.

GCF(33050,33059) = 1

We will now calculate the prime factors of 33050 and 33059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33050 and 33059.

How to find the GCF of 33050 and 33059?

We will first find the prime factorization of 33050 and 33059. After we will calculate the factors of 33050 and 33059 and find the biggest common factor number .

Step-1: Prime Factorization of 33050

Prime factors of 33050 are 2, 5, 661. Prime factorization of 33050 in exponential form is:

33050 = 2¹ × 5² × 661¹

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 33050

List of positive integer factors of 33050 that divides 33050 without a remainder.

1, 2, 5, 10, 25, 50, 661, 1322, 3305, 6610, 16525

Step-4: Factors of 33059

List of positive integer factors of 33059 that divides 33050 without a remainder.

1, 13, 2543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33050 and 33059. The biggest common factor number is the GCF number.
So the greatest common factor 33050 and 33059 is 1.

Also check out the Least Common Multiple of 33050 and 33059