What is the Greatest Common Factor of 4182 and 4194?

Greatest common factor (GCF) of 4182 and 4194 is 6.

GCF(4182,4194) = 6

We will now calculate the prime factors of 4182 and 4194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4182 and 4194.

How to find the GCF of 4182 and 4194?

We will first find the prime factorization of 4182 and 4194. After we will calculate the factors of 4182 and 4194 and find the biggest common factor number .

Step-1: Prime Factorization of 4182

Prime factors of 4182 are 2, 3, 17, 41. Prime factorization of 4182 in exponential form is:

4182 = 2¹ × 3¹ × 17¹ × 41¹

Step-2: Prime Factorization of 4194

Prime factors of 4194 are 2, 3, 233. Prime factorization of 4194 in exponential form is:

4194 = 2¹ × 3² × 233¹

Step-3: Factors of 4182

List of positive integer factors of 4182 that divides 4182 without a remainder.

1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091

Step-4: Factors of 4194

List of positive integer factors of 4194 that divides 4182 without a remainder.

1, 2, 3, 6, 9, 18, 233, 466, 699, 1398, 2097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4182 and 4194. The biggest common factor number is the GCF number.
So the greatest common factor 4182 and 4194 is 6.

Also check out the Least Common Multiple of 4182 and 4194