What is the Greatest Common Factor of 36555 and 36573?

Greatest common factor (GCF) of 36555 and 36573 is 3.

GCF(36555,36573) = 3

We will now calculate the prime factors of 36555 and 36573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36555 and 36573.

How to find the GCF of 36555 and 36573?

We will first find the prime factorization of 36555 and 36573. After we will calculate the factors of 36555 and 36573 and find the biggest common factor number .

Step-1: Prime Factorization of 36555

Prime factors of 36555 are 3, 5, 2437. Prime factorization of 36555 in exponential form is:

36555 = 3¹ × 5¹ × 2437¹

Step-2: Prime Factorization of 36573

Prime factors of 36573 are 3, 73, 167. Prime factorization of 36573 in exponential form is:

36573 = 3¹ × 73¹ × 167¹

Step-3: Factors of 36555

List of positive integer factors of 36555 that divides 36555 without a remainder.

1, 3, 5, 15, 2437, 7311, 12185

Step-4: Factors of 36573

List of positive integer factors of 36573 that divides 36555 without a remainder.

1, 3, 73, 167, 219, 501, 12191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36555 and 36573. The biggest common factor number is the GCF number.
So the greatest common factor 36555 and 36573 is 3.

Also check out the Least Common Multiple of 36555 and 36573