What is the Greatest Common Factor of 57989 and 58005?

Greatest common factor (GCF) of 57989 and 58005 is 1.

GCF(57989,58005) = 1

We will now calculate the prime factors of 57989 and 58005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57989 and 58005.

How to find the GCF of 57989 and 58005?

We will first find the prime factorization of 57989 and 58005. After we will calculate the factors of 57989 and 58005 and find the biggest common factor number .

Step-1: Prime Factorization of 57989

Prime factors of 57989 are 103, 563. Prime factorization of 57989 in exponential form is:

57989 = 103¹ × 563¹

Step-2: 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-3: Factors of 57989

List of positive integer factors of 57989 that divides 57989 without a remainder.

1, 103, 563

Step-4: Factors of 58005

List of positive integer factors of 58005 that divides 57989 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57989 and 58005. The biggest common factor number is the GCF number.
So the greatest common factor 57989 and 58005 is 1.

Also check out the Least Common Multiple of 57989 and 58005