What is the Greatest Common Factor of 36585 and 36594?

Greatest common factor (GCF) of 36585 and 36594 is 9.

GCF(36585,36594) = 9

We will now calculate the prime factors of 36585 and 36594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36585 and 36594.

How to find the GCF of 36585 and 36594?

We will first find the prime factorization of 36585 and 36594. After we will calculate the factors of 36585 and 36594 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36594

Prime factors of 36594 are 2, 3, 19, 107. Prime factorization of 36594 in exponential form is:

36594 = 2¹ × 3² × 19¹ × 107¹

Step-3: Factors of 36585

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

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

Step-4: Factors of 36594

List of positive integer factors of 36594 that divides 36585 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 107, 114, 171, 214, 321, 342, 642, 963, 1926, 2033, 4066, 6099, 12198, 18297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36585 and 36594. The biggest common factor number is the GCF number.
So the greatest common factor 36585 and 36594 is 9.

Also check out the Least Common Multiple of 36585 and 36594