What is the Greatest Common Factor of 58275 and 58295?

Greatest common factor (GCF) of 58275 and 58295 is 5.

GCF(58275,58295) = 5

We will now calculate the prime factors of 58275 and 58295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58275 and 58295.

How to find the GCF of 58275 and 58295?

We will first find the prime factorization of 58275 and 58295. After we will calculate the factors of 58275 and 58295 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 58295

Prime factors of 58295 are 5, 89, 131. Prime factorization of 58295 in exponential form is:

58295 = 5¹ × 89¹ × 131¹

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 58295

List of positive integer factors of 58295 that divides 58275 without a remainder.

1, 5, 89, 131, 445, 655, 11659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58275 and 58295. The biggest common factor number is the GCF number.
So the greatest common factor 58275 and 58295 is 5.

Also check out the Least Common Multiple of 58275 and 58295