What is the Greatest Common Factor of 81570 and 81585?

Greatest common factor (GCF) of 81570 and 81585 is 15.

GCF(81570,81585) = 15

We will now calculate the prime factors of 81570 and 81585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81570 and 81585.

How to find the GCF of 81570 and 81585?

We will first find the prime factorization of 81570 and 81585. After we will calculate the factors of 81570 and 81585 and find the biggest common factor number .

Step-1: Prime Factorization of 81570

Prime factors of 81570 are 2, 3, 5, 2719. Prime factorization of 81570 in exponential form is:

81570 = 2¹ × 3¹ × 5¹ × 2719¹

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 81570

List of positive integer factors of 81570 that divides 81570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2719, 5438, 8157, 13595, 16314, 27190, 40785

Step-4: Factors of 81585

List of positive integer factors of 81585 that divides 81570 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 81570 and 81585. The biggest common factor number is the GCF number.
So the greatest common factor 81570 and 81585 is 15.

Also check out the Least Common Multiple of 81570 and 81585