What is the Greatest Common Factor of 58221 and 58239?

Greatest common factor (GCF) of 58221 and 58239 is 9.

GCF(58221,58239) = 9

We will now calculate the prime factors of 58221 and 58239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58221 and 58239.

How to find the GCF of 58221 and 58239?

We will first find the prime factorization of 58221 and 58239. After we will calculate the factors of 58221 and 58239 and find the biggest common factor number .

Step-1: Prime Factorization of 58221

Prime factors of 58221 are 3, 6469. Prime factorization of 58221 in exponential form is:

58221 = 3² × 6469¹

Step-2: Prime Factorization of 58239

Prime factors of 58239 are 3, 719. Prime factorization of 58239 in exponential form is:

58239 = 3⁴ × 719¹

Step-3: Factors of 58221

List of positive integer factors of 58221 that divides 58221 without a remainder.

1, 3, 9, 6469, 19407

Step-4: Factors of 58239

List of positive integer factors of 58239 that divides 58221 without a remainder.

1, 3, 9, 27, 81, 719, 2157, 6471, 19413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58221 and 58239. The biggest common factor number is the GCF number.
So the greatest common factor 58221 and 58239 is 9.

Also check out the Least Common Multiple of 58221 and 58239