What is the Greatest Common Factor of 58083 and 58089?

Greatest common factor (GCF) of 58083 and 58089 is 3.

GCF(58083,58089) = 3

We will now calculate the prime factors of 58083 and 58089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58083 and 58089.

How to find the GCF of 58083 and 58089?

We will first find the prime factorization of 58083 and 58089. After we will calculate the factors of 58083 and 58089 and find the biggest common factor number .

Step-1: Prime Factorization of 58083

Prime factors of 58083 are 3, 19, 1019. Prime factorization of 58083 in exponential form is:

58083 = 3¹ × 19¹ × 1019¹

Step-2: 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-3: Factors of 58083

List of positive integer factors of 58083 that divides 58083 without a remainder.

1, 3, 19, 57, 1019, 3057, 19361

Step-4: Factors of 58089

List of positive integer factors of 58089 that divides 58083 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58083 and 58089. The biggest common factor number is the GCF number.
So the greatest common factor 58083 and 58089 is 3.

Also check out the Least Common Multiple of 58083 and 58089