What is the Greatest Common Factor of 58005 and 58012?

Greatest common factor (GCF) of 58005 and 58012 is 1.

GCF(58005,58012) = 1

We will now calculate the prime factors of 58005 and 58012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58005 and 58012.

How to find the GCF of 58005 and 58012?

We will first find the prime factorization of 58005 and 58012. After we will calculate the factors of 58005 and 58012 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 58012

Prime factors of 58012 are 2, 14503. Prime factorization of 58012 in exponential form is:

58012 = 2² × 14503¹

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 58012

List of positive integer factors of 58012 that divides 58005 without a remainder.

1, 2, 4, 14503, 29006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58005 and 58012. The biggest common factor number is the GCF number.
So the greatest common factor 58005 and 58012 is 1.

Also check out the Least Common Multiple of 58005 and 58012