What is the Greatest Common Factor of 36159 and 36171?

Greatest common factor (GCF) of 36159 and 36171 is 3.

GCF(36159,36171) = 3

We will now calculate the prime factors of 36159 and 36171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36159 and 36171.

How to find the GCF of 36159 and 36171?

We will first find the prime factorization of 36159 and 36171. After we will calculate the factors of 36159 and 36171 and find the biggest common factor number .

Step-1: Prime Factorization of 36159

Prime factors of 36159 are 3, 17, 709. Prime factorization of 36159 in exponential form is:

36159 = 3¹ × 17¹ × 709¹

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 36159

List of positive integer factors of 36159 that divides 36159 without a remainder.

1, 3, 17, 51, 709, 2127, 12053

Step-4: Factors of 36171

List of positive integer factors of 36171 that divides 36159 without a remainder.

1, 3, 9, 4019, 12057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36159 and 36171. The biggest common factor number is the GCF number.
So the greatest common factor 36159 and 36171 is 3.

Also check out the Least Common Multiple of 36159 and 36171