What is the Greatest Common Factor of 36585 and 36603?

Greatest common factor (GCF) of 36585 and 36603 is 9.

GCF(36585,36603) = 9

We will now calculate the prime factors of 36585 and 36603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36585 and 36603.

How to find the GCF of 36585 and 36603?

We will first find the prime factorization of 36585 and 36603. After we will calculate the factors of 36585 and 36603 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 36603

Prime factors of 36603 are 3, 7, 83. Prime factorization of 36603 in exponential form is:

36603 = 3² × 7² × 83¹

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 36603

List of positive integer factors of 36603 that divides 36585 without a remainder.

1, 3, 7, 9, 21, 49, 63, 83, 147, 249, 441, 581, 747, 1743, 4067, 5229, 12201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36585 and 36603. The biggest common factor number is the GCF number.
So the greatest common factor 36585 and 36603 is 9.

Also check out the Least Common Multiple of 36585 and 36603