What is the Greatest Common Factor of 58089 and 58099?

Greatest common factor (GCF) of 58089 and 58099 is 1.

GCF(58089,58099) = 1

We will now calculate the prime factors of 58089 and 58099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58089 and 58099.

How to find the GCF of 58089 and 58099?

We will first find the prime factorization of 58089 and 58099. After we will calculate the factors of 58089 and 58099 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 58099

Prime factors of 58099 are 58099. Prime factorization of 58099 in exponential form is:

58099 = 58099¹

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 58099

List of positive integer factors of 58099 that divides 58089 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58089 and 58099. The biggest common factor number is the GCF number.
So the greatest common factor 58089 and 58099 is 1.

Also check out the Least Common Multiple of 58089 and 58099