What is the Greatest Common Factor of 36165 and 36171?

Greatest common factor (GCF) of 36165 and 36171 is 3.

GCF(36165,36171) = 3

We will now calculate the prime factors of 36165 and 36171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36165 and 36171.

How to find the GCF of 36165 and 36171?

We will first find the prime factorization of 36165 and 36171. After we will calculate the factors of 36165 and 36171 and find the biggest common factor number .

Step-1: Prime Factorization of 36165

Prime factors of 36165 are 3, 5, 2411. Prime factorization of 36165 in exponential form is:

36165 = 3¹ × 5¹ × 2411¹

Step-2: Prime Factorization of 36171

Prime factors of 36171 are 3, 4019. Prime factorization of 36171 in exponential form is:

36171 = 3² × 4019¹

Step-3: Factors of 36165

List of positive integer factors of 36165 that divides 36165 without a remainder.

1, 3, 5, 15, 2411, 7233, 12055

Step-4: Factors of 36171

List of positive integer factors of 36171 that divides 36165 without a remainder.

1, 3, 9, 4019, 12057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36165 and 36171. The biggest common factor number is the GCF number.
So the greatest common factor 36165 and 36171 is 3.

Also check out the Least Common Multiple of 36165 and 36171