What is the Greatest Common Factor of 84159 and 84165?

Greatest common factor (GCF) of 84159 and 84165 is 3.

GCF(84159,84165) = 3

We will now calculate the prime factors of 84159 and 84165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84159 and 84165.

How to find the GCF of 84159 and 84165?

We will first find the prime factorization of 84159 and 84165. After we will calculate the factors of 84159 and 84165 and find the biggest common factor number .

Step-1: Prime Factorization of 84159

Prime factors of 84159 are 3, 1039. Prime factorization of 84159 in exponential form is:

84159 = 3⁴ × 1039¹

Step-2: 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-3: Factors of 84159

List of positive integer factors of 84159 that divides 84159 without a remainder.

1, 3, 9, 27, 81, 1039, 3117, 9351, 28053

Step-4: Factors of 84165

List of positive integer factors of 84165 that divides 84159 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84159 and 84165. The biggest common factor number is the GCF number.
So the greatest common factor 84159 and 84165 is 3.

Also check out the Least Common Multiple of 84159 and 84165