What is the Greatest Common Factor of 58005 and 58009?

Greatest common factor (GCF) of 58005 and 58009 is 1.

GCF(58005,58009) = 1

We will now calculate the prime factors of 58005 and 58009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58005 and 58009.

How to find the GCF of 58005 and 58009?

We will first find the prime factorization of 58005 and 58009. After we will calculate the factors of 58005 and 58009 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 58009

Prime factors of 58009 are 7, 8287. Prime factorization of 58009 in exponential form is:

58009 = 7¹ × 8287¹

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 58009

List of positive integer factors of 58009 that divides 58005 without a remainder.

1, 7, 8287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58005 and 58009. The biggest common factor number is the GCF number.
So the greatest common factor 58005 and 58009 is 1.

Also check out the Least Common Multiple of 58005 and 58009