What is the Greatest Common Factor of 12174 and 12192?

Greatest common factor (GCF) of 12174 and 12192 is 6.

GCF(12174,12192) = 6

We will now calculate the prime factors of 12174 and 12192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12174 and 12192.

How to find the GCF of 12174 and 12192?

We will first find the prime factorization of 12174 and 12192. After we will calculate the factors of 12174 and 12192 and find the biggest common factor number .

Step-1: Prime Factorization of 12174

Prime factors of 12174 are 2, 3, 2029. Prime factorization of 12174 in exponential form is:

12174 = 2¹ × 3¹ × 2029¹

Step-2: Prime Factorization of 12192

Prime factors of 12192 are 2, 3, 127. Prime factorization of 12192 in exponential form is:

12192 = 2⁵ × 3¹ × 127¹

Step-3: Factors of 12174

List of positive integer factors of 12174 that divides 12174 without a remainder.

1, 2, 3, 6, 2029, 4058, 6087

Step-4: Factors of 12192

List of positive integer factors of 12192 that divides 12174 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 127, 254, 381, 508, 762, 1016, 1524, 2032, 3048, 4064, 6096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12174 and 12192. The biggest common factor number is the GCF number.
So the greatest common factor 12174 and 12192 is 6.

Also check out the Least Common Multiple of 12174 and 12192