What is the Greatest Common Factor of 18174 and 18193?

Greatest common factor (GCF) of 18174 and 18193 is 1.

GCF(18174,18193) = 1

We will now calculate the prime factors of 18174 and 18193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18174 and 18193.

How to find the GCF of 18174 and 18193?

We will first find the prime factorization of 18174 and 18193. After we will calculate the factors of 18174 and 18193 and find the biggest common factor number .

Step-1: Prime Factorization of 18174

Prime factors of 18174 are 2, 3, 13, 233. Prime factorization of 18174 in exponential form is:

18174 = 2¹ × 3¹ × 13¹ × 233¹

Step-2: Prime Factorization of 18193

Prime factors of 18193 are 7, 23, 113. Prime factorization of 18193 in exponential form is:

18193 = 7¹ × 23¹ × 113¹

Step-3: Factors of 18174

List of positive integer factors of 18174 that divides 18174 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 233, 466, 699, 1398, 3029, 6058, 9087

Step-4: Factors of 18193

List of positive integer factors of 18193 that divides 18174 without a remainder.

1, 7, 23, 113, 161, 791, 2599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18174 and 18193. The biggest common factor number is the GCF number.
So the greatest common factor 18174 and 18193 is 1.

Also check out the Least Common Multiple of 18174 and 18193