What is the Greatest Common Factor of 81573 and 81585?

Greatest common factor (GCF) of 81573 and 81585 is 3.

GCF(81573,81585) = 3

We will now calculate the prime factors of 81573 and 81585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81573 and 81585.

How to find the GCF of 81573 and 81585?

We will first find the prime factorization of 81573 and 81585. After we will calculate the factors of 81573 and 81585 and find the biggest common factor number .

Step-1: Prime Factorization of 81573

Prime factors of 81573 are 3, 27191. Prime factorization of 81573 in exponential form is:

81573 = 3¹ × 27191¹

Step-2: 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-3: Factors of 81573

List of positive integer factors of 81573 that divides 81573 without a remainder.

1, 3, 27191

Step-4: Factors of 81585

List of positive integer factors of 81585 that divides 81573 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81573 and 81585. The biggest common factor number is the GCF number.
So the greatest common factor 81573 and 81585 is 3.

Also check out the Least Common Multiple of 81573 and 81585