What is the Greatest Common Factor of 81585 and 81599?

Greatest common factor (GCF) of 81585 and 81599 is 7.

GCF(81585,81599) = 7

We will now calculate the prime factors of 81585 and 81599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81585 and 81599.

How to find the GCF of 81585 and 81599?

We will first find the prime factorization of 81585 and 81599. After we will calculate the factors of 81585 and 81599 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 81599

Prime factors of 81599 are 7, 11657. Prime factorization of 81599 in exponential form is:

81599 = 7¹ × 11657¹

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 81599

List of positive integer factors of 81599 that divides 81585 without a remainder.

1, 7, 11657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81585 and 81599. The biggest common factor number is the GCF number.
So the greatest common factor 81585 and 81599 is 7.

Also check out the Least Common Multiple of 81585 and 81599