What is the Greatest Common Factor of 81585 and 81595?

Greatest common factor (GCF) of 81585 and 81595 is 5.

GCF(81585,81595) = 5

We will now calculate the prime factors of 81585 and 81595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81585 and 81595.

How to find the GCF of 81585 and 81595?

We will first find the prime factorization of 81585 and 81595. After we will calculate the factors of 81585 and 81595 and find the biggest common factor number .

Step-1: Prime Factorization of 81585

Prime factors of 81585 are 3, 5, 7, 37. Prime factorization of 81585 in exponential form is:

81585 = 3² × 5¹ × 7² × 37¹

Step-2: Prime Factorization of 81595

Prime factors of 81595 are 5, 16319. Prime factorization of 81595 in exponential form is:

81595 = 5¹ × 16319¹

Step-3: Factors of 81585

List of positive integer factors of 81585 that divides 81585 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 37, 45, 49, 63, 105, 111, 147, 185, 245, 259, 315, 333, 441, 555, 735, 777, 1295, 1665, 1813, 2205, 2331, 3885, 5439, 9065, 11655, 16317, 27195

Step-4: Factors of 81595

List of positive integer factors of 81595 that divides 81585 without a remainder.

1, 5, 16319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81585 and 81595. The biggest common factor number is the GCF number.
So the greatest common factor 81585 and 81595 is 5.

Also check out the Least Common Multiple of 81585 and 81595