What is the Greatest Common Factor of 58089 and 58109?

Greatest common factor (GCF) of 58089 and 58109 is 1.

GCF(58089,58109) = 1

We will now calculate the prime factors of 58089 and 58109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58089 and 58109.

How to find the GCF of 58089 and 58109?

We will first find the prime factorization of 58089 and 58109. After we will calculate the factors of 58089 and 58109 and find the biggest common factor number .

Step-1: Prime Factorization of 58089

Prime factors of 58089 are 3, 17, 67. Prime factorization of 58089 in exponential form is:

58089 = 3¹ × 17² × 67¹

Step-2: Prime Factorization of 58109

Prime factors of 58109 are 58109. Prime factorization of 58109 in exponential form is:

58109 = 58109¹

Step-3: Factors of 58089

List of positive integer factors of 58089 that divides 58089 without a remainder.

1, 3, 17, 51, 67, 201, 289, 867, 1139, 3417, 19363

Step-4: Factors of 58109

List of positive integer factors of 58109 that divides 58089 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58089 and 58109. The biggest common factor number is the GCF number.
So the greatest common factor 58089 and 58109 is 1.

Also check out the Least Common Multiple of 58089 and 58109