What is the Greatest Common Factor of 36177 and 36189?

Greatest common factor (GCF) of 36177 and 36189 is 3.

GCF(36177,36189) = 3

We will now calculate the prime factors of 36177 and 36189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36177 and 36189.

How to find the GCF of 36177 and 36189?

We will first find the prime factorization of 36177 and 36189. After we will calculate the factors of 36177 and 36189 and find the biggest common factor number .

Step-1: Prime Factorization of 36177

Prime factors of 36177 are 3, 31, 389. Prime factorization of 36177 in exponential form is:

36177 = 3¹ × 31¹ × 389¹

Step-2: Prime Factorization of 36189

Prime factors of 36189 are 3, 4021. Prime factorization of 36189 in exponential form is:

36189 = 3² × 4021¹

Step-3: Factors of 36177

List of positive integer factors of 36177 that divides 36177 without a remainder.

1, 3, 31, 93, 389, 1167, 12059

Step-4: Factors of 36189

List of positive integer factors of 36189 that divides 36177 without a remainder.

1, 3, 9, 4021, 12063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36177 and 36189. The biggest common factor number is the GCF number.
So the greatest common factor 36177 and 36189 is 3.

Also check out the Least Common Multiple of 36177 and 36189