What is the Greatest Common Factor of 58389 and 58401?

Greatest common factor (GCF) of 58389 and 58401 is 3.

GCF(58389,58401) = 3

We will now calculate the prime factors of 58389 and 58401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58389 and 58401.

How to find the GCF of 58389 and 58401?

We will first find the prime factorization of 58389 and 58401. After we will calculate the factors of 58389 and 58401 and find the biggest common factor number .

Step-1: Prime Factorization of 58389

Prime factors of 58389 are 3, 19463. Prime factorization of 58389 in exponential form is:

58389 = 3¹ × 19463¹

Step-2: Prime Factorization of 58401

Prime factors of 58401 are 3, 7, 103. Prime factorization of 58401 in exponential form is:

58401 = 3⁴ × 7¹ × 103¹

Step-3: Factors of 58389

List of positive integer factors of 58389 that divides 58389 without a remainder.

1, 3, 19463

Step-4: Factors of 58401

List of positive integer factors of 58401 that divides 58389 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 103, 189, 309, 567, 721, 927, 2163, 2781, 6489, 8343, 19467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58389 and 58401. The biggest common factor number is the GCF number.
So the greatest common factor 58389 and 58401 is 3.

Also check out the Least Common Multiple of 58389 and 58401