What is the Greatest Common Factor of 84159 and 84177?

Greatest common factor (GCF) of 84159 and 84177 is 9.

GCF(84159,84177) = 9

We will now calculate the prime factors of 84159 and 84177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84159 and 84177.

How to find the GCF of 84159 and 84177?

We will first find the prime factorization of 84159 and 84177. After we will calculate the factors of 84159 and 84177 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 84177

Prime factors of 84177 are 3, 47, 199. Prime factorization of 84177 in exponential form is:

84177 = 3² × 47¹ × 199¹

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 84177

List of positive integer factors of 84177 that divides 84159 without a remainder.

1, 3, 9, 47, 141, 199, 423, 597, 1791, 9353, 28059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84159 and 84177. The biggest common factor number is the GCF number.
So the greatest common factor 84159 and 84177 is 9.

Also check out the Least Common Multiple of 84159 and 84177