What is the Greatest Common Factor of 18168 and 18174?

Greatest common factor (GCF) of 18168 and 18174 is 6.

GCF(18168,18174) = 6

We will now calculate the prime factors of 18168 and 18174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18168 and 18174.

How to find the GCF of 18168 and 18174?

We will first find the prime factorization of 18168 and 18174. After we will calculate the factors of 18168 and 18174 and find the biggest common factor number .

Step-1: Prime Factorization of 18168

Prime factors of 18168 are 2, 3, 757. Prime factorization of 18168 in exponential form is:

18168 = 2³ × 3¹ × 757¹

Step-2: 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-3: Factors of 18168

List of positive integer factors of 18168 that divides 18168 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 757, 1514, 2271, 3028, 4542, 6056, 9084

Step-4: Factors of 18174

List of positive integer factors of 18174 that divides 18168 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18168 and 18174. The biggest common factor number is the GCF number.
So the greatest common factor 18168 and 18174 is 6.

Also check out the Least Common Multiple of 18168 and 18174