What is the Greatest Common Factor of 58089 and 58108?

Greatest common factor (GCF) of 58089 and 58108 is 1.

GCF(58089,58108) = 1

We will now calculate the prime factors of 58089 and 58108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58089 and 58108.

How to find the GCF of 58089 and 58108?

We will first find the prime factorization of 58089 and 58108. After we will calculate the factors of 58089 and 58108 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 58108

Prime factors of 58108 are 2, 73, 199. Prime factorization of 58108 in exponential form is:

58108 = 2² × 73¹ × 199¹

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 58108

List of positive integer factors of 58108 that divides 58089 without a remainder.

1, 2, 4, 73, 146, 199, 292, 398, 796, 14527, 29054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58089 and 58108. The biggest common factor number is the GCF number.
So the greatest common factor 58089 and 58108 is 1.

Also check out the Least Common Multiple of 58089 and 58108