What is the Greatest Common Factor of 58671 and 58689?

Greatest common factor (GCF) of 58671 and 58689 is 9.

GCF(58671,58689) = 9

We will now calculate the prime factors of 58671 and 58689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58671 and 58689.

How to find the GCF of 58671 and 58689?

We will first find the prime factorization of 58671 and 58689. After we will calculate the factors of 58671 and 58689 and find the biggest common factor number .

Step-1: Prime Factorization of 58671

Prime factors of 58671 are 3, 41, 53. Prime factorization of 58671 in exponential form is:

58671 = 3³ × 41¹ × 53¹

Step-2: Prime Factorization of 58689

Prime factors of 58689 are 3, 6521. Prime factorization of 58689 in exponential form is:

58689 = 3² × 6521¹

Step-3: Factors of 58671

List of positive integer factors of 58671 that divides 58671 without a remainder.

1, 3, 9, 27, 41, 53, 123, 159, 369, 477, 1107, 1431, 2173, 6519, 19557

Step-4: Factors of 58689

List of positive integer factors of 58689 that divides 58671 without a remainder.

1, 3, 9, 6521, 19563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58671 and 58689. The biggest common factor number is the GCF number.
So the greatest common factor 58671 and 58689 is 9.

Also check out the Least Common Multiple of 58671 and 58689