What is the Greatest Common Factor of 58089 and 58102?

Greatest common factor (GCF) of 58089 and 58102 is 1.

GCF(58089,58102) = 1

We will now calculate the prime factors of 58089 and 58102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58089 and 58102.

How to find the GCF of 58089 and 58102?

We will first find the prime factorization of 58089 and 58102. After we will calculate the factors of 58089 and 58102 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 58102

Prime factors of 58102 are 2, 11, 19, 139. Prime factorization of 58102 in exponential form is:

58102 = 2¹ × 11¹ × 19¹ × 139¹

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 58102

List of positive integer factors of 58102 that divides 58089 without a remainder.

1, 2, 11, 19, 22, 38, 139, 209, 278, 418, 1529, 2641, 3058, 5282, 29051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58089 and 58102. The biggest common factor number is the GCF number.
So the greatest common factor 58089 and 58102 is 1.

Also check out the Least Common Multiple of 58089 and 58102