What is the Greatest Common Factor of 36570 and 36585?

Greatest common factor (GCF) of 36570 and 36585 is 15.

GCF(36570,36585) = 15

We will now calculate the prime factors of 36570 and 36585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36570 and 36585.

How to find the GCF of 36570 and 36585?

We will first find the prime factorization of 36570 and 36585. After we will calculate the factors of 36570 and 36585 and find the biggest common factor number .

Step-1: Prime Factorization of 36570

Prime factors of 36570 are 2, 3, 5, 23, 53. Prime factorization of 36570 in exponential form is:

36570 = 2¹ × 3¹ × 5¹ × 23¹ × 53¹

Step-2: Prime Factorization of 36585

Prime factors of 36585 are 3, 5, 271. Prime factorization of 36585 in exponential form is:

36585 = 3³ × 5¹ × 271¹

Step-3: Factors of 36570

List of positive integer factors of 36570 that divides 36570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 53, 69, 106, 115, 138, 159, 230, 265, 318, 345, 530, 690, 795, 1219, 1590, 2438, 3657, 6095, 7314, 12190, 18285

Step-4: Factors of 36585

List of positive integer factors of 36585 that divides 36570 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 271, 813, 1355, 2439, 4065, 7317, 12195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36570 and 36585. The biggest common factor number is the GCF number.
So the greatest common factor 36570 and 36585 is 15.

Also check out the Least Common Multiple of 36570 and 36585