What is the Greatest Common Factor of 93171 and 93189?

Greatest common factor (GCF) of 93171 and 93189 is 3.

GCF(93171,93189) = 3

We will now calculate the prime factors of 93171 and 93189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93171 and 93189.

How to find the GCF of 93171 and 93189?

We will first find the prime factorization of 93171 and 93189. After we will calculate the factors of 93171 and 93189 and find the biggest common factor number .

Step-1: Prime Factorization of 93171

Prime factors of 93171 are 3, 13, 2389. Prime factorization of 93171 in exponential form is:

93171 = 3¹ × 13¹ × 2389¹

Step-2: Prime Factorization of 93189

Prime factors of 93189 are 3, 31063. Prime factorization of 93189 in exponential form is:

93189 = 3¹ × 31063¹

Step-3: Factors of 93171

List of positive integer factors of 93171 that divides 93171 without a remainder.

1, 3, 13, 39, 2389, 7167, 31057

Step-4: Factors of 93189

List of positive integer factors of 93189 that divides 93171 without a remainder.

1, 3, 31063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93171 and 93189. The biggest common factor number is the GCF number.
So the greatest common factor 93171 and 93189 is 3.

Also check out the Least Common Multiple of 93171 and 93189