What is the Greatest Common Factor of 93174 and 93189?

Greatest common factor (GCF) of 93174 and 93189 is 3.

GCF(93174,93189) = 3

We will now calculate the prime factors of 93174 and 93189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93174 and 93189.

How to find the GCF of 93174 and 93189?

We will first find the prime factorization of 93174 and 93189. After we will calculate the factors of 93174 and 93189 and find the biggest common factor number .

Step-1: Prime Factorization of 93174

Prime factors of 93174 are 2, 3, 53, 293. Prime factorization of 93174 in exponential form is:

93174 = 2¹ × 3¹ × 53¹ × 293¹

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 93174

List of positive integer factors of 93174 that divides 93174 without a remainder.

1, 2, 3, 6, 53, 106, 159, 293, 318, 586, 879, 1758, 15529, 31058, 46587

Step-4: Factors of 93189

List of positive integer factors of 93189 that divides 93174 without a remainder.

1, 3, 31063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93174 and 93189. The biggest common factor number is the GCF number.
So the greatest common factor 93174 and 93189 is 3.

Also check out the Least Common Multiple of 93174 and 93189