What is the Greatest Common Factor of 84165 and 84171?

Greatest common factor (GCF) of 84165 and 84171 is 3.

GCF(84165,84171) = 3

We will now calculate the prime factors of 84165 and 84171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84165 and 84171.

How to find the GCF of 84165 and 84171?

We will first find the prime factorization of 84165 and 84171. After we will calculate the factors of 84165 and 84171 and find the biggest common factor number .

Step-1: Prime Factorization of 84165

Prime factors of 84165 are 3, 5, 31, 181. Prime factorization of 84165 in exponential form is:

84165 = 3¹ × 5¹ × 31¹ × 181¹

Step-2: Prime Factorization of 84171

Prime factors of 84171 are 3, 28057. Prime factorization of 84171 in exponential form is:

84171 = 3¹ × 28057¹

Step-3: Factors of 84165

List of positive integer factors of 84165 that divides 84165 without a remainder.

1, 3, 5, 15, 31, 93, 155, 181, 465, 543, 905, 2715, 5611, 16833, 28055

Step-4: Factors of 84171

List of positive integer factors of 84171 that divides 84165 without a remainder.

1, 3, 28057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84165 and 84171. The biggest common factor number is the GCF number.
So the greatest common factor 84165 and 84171 is 3.

Also check out the Least Common Multiple of 84165 and 84171