What is the Greatest Common Factor of 58295 and 58305?

Greatest common factor (GCF) of 58295 and 58305 is 5.

GCF(58295,58305) = 5

We will now calculate the prime factors of 58295 and 58305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58295 and 58305.

How to find the GCF of 58295 and 58305?

We will first find the prime factorization of 58295 and 58305. After we will calculate the factors of 58295 and 58305 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58305

Prime factors of 58305 are 3, 5, 13, 23. Prime factorization of 58305 in exponential form is:

58305 = 3¹ × 5¹ × 13² × 23¹

Step-3: Factors of 58295

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

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

Step-4: Factors of 58305

List of positive integer factors of 58305 that divides 58295 without a remainder.

1, 3, 5, 13, 15, 23, 39, 65, 69, 115, 169, 195, 299, 345, 507, 845, 897, 1495, 2535, 3887, 4485, 11661, 19435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58295 and 58305. The biggest common factor number is the GCF number.
So the greatest common factor 58295 and 58305 is 5.

Also check out the Least Common Multiple of 58295 and 58305