What is the Greatest Common Factor of 58089 and 58094?

Greatest common factor (GCF) of 58089 and 58094 is 1.

GCF(58089,58094) = 1

We will now calculate the prime factors of 58089 and 58094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58089 and 58094.

How to find the GCF of 58089 and 58094?

We will first find the prime factorization of 58089 and 58094. After we will calculate the factors of 58089 and 58094 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 58094

Prime factors of 58094 are 2, 31, 937. Prime factorization of 58094 in exponential form is:

58094 = 2¹ × 31¹ × 937¹

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 58094

List of positive integer factors of 58094 that divides 58089 without a remainder.

1, 2, 31, 62, 937, 1874, 29047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58089 and 58094. The biggest common factor number is the GCF number.
So the greatest common factor 58089 and 58094 is 1.

Also check out the Least Common Multiple of 58089 and 58094