What is the Greatest Common Factor of 33059 and 33065?

Greatest common factor (GCF) of 33059 and 33065 is 1.

GCF(33059,33065) = 1

We will now calculate the prime factors of 33059 and 33065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33059 and 33065.

How to find the GCF of 33059 and 33065?

We will first find the prime factorization of 33059 and 33065. After we will calculate the factors of 33059 and 33065 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 33065

Prime factors of 33065 are 5, 17, 389. Prime factorization of 33065 in exponential form is:

33065 = 5¹ × 17¹ × 389¹

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 33065

List of positive integer factors of 33065 that divides 33059 without a remainder.

1, 5, 17, 85, 389, 1945, 6613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33059 and 33065. The biggest common factor number is the GCF number.
So the greatest common factor 33059 and 33065 is 1.

Also check out the Least Common Multiple of 33059 and 33065