What is the Greatest Common Factor of 58233 and 58245?

Greatest common factor (GCF) of 58233 and 58245 is 3.

GCF(58233,58245) = 3

We will now calculate the prime factors of 58233 and 58245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58233 and 58245.

How to find the GCF of 58233 and 58245?

We will first find the prime factorization of 58233 and 58245. After we will calculate the factors of 58233 and 58245 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58245

Prime factors of 58245 are 3, 5, 11, 353. Prime factorization of 58245 in exponential form is:

58245 = 3¹ × 5¹ × 11¹ × 353¹

Step-3: Factors of 58233

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

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

Step-4: Factors of 58245

List of positive integer factors of 58245 that divides 58233 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 353, 1059, 1765, 3883, 5295, 11649, 19415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58233 and 58245. The biggest common factor number is the GCF number.
So the greatest common factor 58233 and 58245 is 3.

Also check out the Least Common Multiple of 58233 and 58245