What is the Greatest Common Factor of 58275 and 58287?

Greatest common factor (GCF) of 58275 and 58287 is 3.

GCF(58275,58287) = 3

We will now calculate the prime factors of 58275 and 58287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58275 and 58287.

How to find the GCF of 58275 and 58287?

We will first find the prime factorization of 58275 and 58287. After we will calculate the factors of 58275 and 58287 and find the biggest common factor number .

Step-1: Prime Factorization of 58275

Prime factors of 58275 are 3, 5, 7, 37. Prime factorization of 58275 in exponential form is:

58275 = 3² × 5² × 7¹ × 37¹

Step-2: Prime Factorization of 58287

Prime factors of 58287 are 3, 19429. Prime factorization of 58287 in exponential form is:

58287 = 3¹ × 19429¹

Step-3: Factors of 58275

List of positive integer factors of 58275 that divides 58275 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 37, 45, 63, 75, 105, 111, 175, 185, 225, 259, 315, 333, 525, 555, 777, 925, 1295, 1575, 1665, 2331, 2775, 3885, 6475, 8325, 11655, 19425

Step-4: Factors of 58287

List of positive integer factors of 58287 that divides 58275 without a remainder.

1, 3, 19429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58275 and 58287. The biggest common factor number is the GCF number.
So the greatest common factor 58275 and 58287 is 3.

Also check out the Least Common Multiple of 58275 and 58287