What is the Greatest Common Factor of 58005 and 58011?

Greatest common factor (GCF) of 58005 and 58011 is 3.

GCF(58005,58011) = 3

We will now calculate the prime factors of 58005 and 58011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58005 and 58011.

How to find the GCF of 58005 and 58011?

We will first find the prime factorization of 58005 and 58011. After we will calculate the factors of 58005 and 58011 and find the biggest common factor number .

Step-1: Prime Factorization of 58005

Prime factors of 58005 are 3, 5, 1289. Prime factorization of 58005 in exponential form is:

58005 = 3² × 5¹ × 1289¹

Step-2: Prime Factorization of 58011

Prime factors of 58011 are 3, 61, 317. Prime factorization of 58011 in exponential form is:

58011 = 3¹ × 61¹ × 317¹

Step-3: Factors of 58005

List of positive integer factors of 58005 that divides 58005 without a remainder.

1, 3, 5, 9, 15, 45, 1289, 3867, 6445, 11601, 19335

Step-4: Factors of 58011

List of positive integer factors of 58011 that divides 58005 without a remainder.

1, 3, 61, 183, 317, 951, 19337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58005 and 58011. The biggest common factor number is the GCF number.
So the greatest common factor 58005 and 58011 is 3.

Also check out the Least Common Multiple of 58005 and 58011