What is the Greatest Common Factor of 18174 and 18186?

Greatest common factor (GCF) of 18174 and 18186 is 6.

GCF(18174,18186) = 6

We will now calculate the prime factors of 18174 and 18186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18174 and 18186.

How to find the GCF of 18174 and 18186?

We will first find the prime factorization of 18174 and 18186. After we will calculate the factors of 18174 and 18186 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 18186

Prime factors of 18186 are 2, 3, 7, 433. Prime factorization of 18186 in exponential form is:

18186 = 2¹ × 3¹ × 7¹ × 433¹

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 18186

List of positive integer factors of 18186 that divides 18174 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 433, 866, 1299, 2598, 3031, 6062, 9093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18174 and 18186. The biggest common factor number is the GCF number.
So the greatest common factor 18174 and 18186 is 6.

Also check out the Least Common Multiple of 18174 and 18186