What is the Greatest Common Factor of 58098 and 58113?

Greatest common factor (GCF) of 58098 and 58113 is 3.

GCF(58098,58113) = 3

We will now calculate the prime factors of 58098 and 58113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58098 and 58113.

How to find the GCF of 58098 and 58113?

We will first find the prime factorization of 58098 and 58113. After we will calculate the factors of 58098 and 58113 and find the biggest common factor number .

Step-1: Prime Factorization of 58098

Prime factors of 58098 are 2, 3, 23, 421. Prime factorization of 58098 in exponential form is:

58098 = 2¹ × 3¹ × 23¹ × 421¹

Step-2: Prime Factorization of 58113

Prime factors of 58113 are 3, 11, 587. Prime factorization of 58113 in exponential form is:

58113 = 3² × 11¹ × 587¹

Step-3: Factors of 58098

List of positive integer factors of 58098 that divides 58098 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 421, 842, 1263, 2526, 9683, 19366, 29049

Step-4: Factors of 58113

List of positive integer factors of 58113 that divides 58098 without a remainder.

1, 3, 9, 11, 33, 99, 587, 1761, 5283, 6457, 19371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58098 and 58113. The biggest common factor number is the GCF number.
So the greatest common factor 58098 and 58113 is 3.

Also check out the Least Common Multiple of 58098 and 58113