What is the Greatest Common Factor of 58260 and 58275?

Greatest common factor (GCF) of 58260 and 58275 is 15.

GCF(58260,58275) = 15

We will now calculate the prime factors of 58260 and 58275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58260 and 58275.

How to find the GCF of 58260 and 58275?

We will first find the prime factorization of 58260 and 58275. After we will calculate the factors of 58260 and 58275 and find the biggest common factor number .

Step-1: Prime Factorization of 58260

Prime factors of 58260 are 2, 3, 5, 971. Prime factorization of 58260 in exponential form is:

58260 = 2² × 3¹ × 5¹ × 971¹

Step-2: 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-3: Factors of 58260

List of positive integer factors of 58260 that divides 58260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 971, 1942, 2913, 3884, 4855, 5826, 9710, 11652, 14565, 19420, 29130

Step-4: Factors of 58275

List of positive integer factors of 58275 that divides 58260 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58260 and 58275. The biggest common factor number is the GCF number.
So the greatest common factor 58260 and 58275 is 15.

Also check out the Least Common Multiple of 58260 and 58275