What is the Greatest Common Factor of 36585 and 36595?

Greatest common factor (GCF) of 36585 and 36595 is 5.

GCF(36585,36595) = 5

We will now calculate the prime factors of 36585 and 36595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36585 and 36595.

How to find the GCF of 36585 and 36595?

We will first find the prime factorization of 36585 and 36595. After we will calculate the factors of 36585 and 36595 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 36595

Prime factors of 36595 are 5, 13, 563. Prime factorization of 36595 in exponential form is:

36595 = 5¹ × 13¹ × 563¹

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 36595

List of positive integer factors of 36595 that divides 36585 without a remainder.

1, 5, 13, 65, 563, 2815, 7319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36585 and 36595. The biggest common factor number is the GCF number.
So the greatest common factor 36585 and 36595 is 5.

Also check out the Least Common Multiple of 36585 and 36595