What is the Greatest Common Factor of 84165 and 84174?

Greatest common factor (GCF) of 84165 and 84174 is 3.

GCF(84165,84174) = 3

We will now calculate the prime factors of 84165 and 84174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84165 and 84174.

How to find the GCF of 84165 and 84174?

We will first find the prime factorization of 84165 and 84174. After we will calculate the factors of 84165 and 84174 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 84174

Prime factors of 84174 are 2, 3, 14029. Prime factorization of 84174 in exponential form is:

84174 = 2¹ × 3¹ × 14029¹

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 84174

List of positive integer factors of 84174 that divides 84165 without a remainder.

1, 2, 3, 6, 14029, 28058, 42087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84165 and 84174. The biggest common factor number is the GCF number.
So the greatest common factor 84165 and 84174 is 3.

Also check out the Least Common Multiple of 84165 and 84174