What is the Greatest Common Factor of 58221 and 58233?

Greatest common factor (GCF) of 58221 and 58233 is 3.

GCF(58221,58233) = 3

We will now calculate the prime factors of 58221 and 58233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58221 and 58233.

How to find the GCF of 58221 and 58233?

We will first find the prime factorization of 58221 and 58233. After we will calculate the factors of 58221 and 58233 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 58233

Prime factors of 58233 are 3, 7, 47, 59. Prime factorization of 58233 in exponential form is:

58233 = 3¹ × 7¹ × 47¹ × 59¹

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 58233

List of positive integer factors of 58233 that divides 58221 without a remainder.

1, 3, 7, 21, 47, 59, 141, 177, 329, 413, 987, 1239, 2773, 8319, 19411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58221 and 58233. The biggest common factor number is the GCF number.
So the greatest common factor 58221 and 58233 is 3.

Also check out the Least Common Multiple of 58221 and 58233