What is the Greatest Common Factor of 36588 and 36597?

Greatest common factor (GCF) of 36588 and 36597 is 3.

GCF(36588,36597) = 3

We will now calculate the prime factors of 36588 and 36597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36588 and 36597.

How to find the GCF of 36588 and 36597?

We will first find the prime factorization of 36588 and 36597. After we will calculate the factors of 36588 and 36597 and find the biggest common factor number .

Step-1: Prime Factorization of 36588

Prime factors of 36588 are 2, 3, 3049. Prime factorization of 36588 in exponential form is:

36588 = 2² × 3¹ × 3049¹

Step-2: Prime Factorization of 36597

Prime factors of 36597 are 3, 11, 1109. Prime factorization of 36597 in exponential form is:

36597 = 3¹ × 11¹ × 1109¹

Step-3: Factors of 36588

List of positive integer factors of 36588 that divides 36588 without a remainder.

1, 2, 3, 4, 6, 12, 3049, 6098, 9147, 12196, 18294

Step-4: Factors of 36597

List of positive integer factors of 36597 that divides 36588 without a remainder.

1, 3, 11, 33, 1109, 3327, 12199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36588 and 36597. The biggest common factor number is the GCF number.
So the greatest common factor 36588 and 36597 is 3.

Also check out the Least Common Multiple of 36588 and 36597