What is the Greatest Common Factor of 4185 and 4194?

Greatest common factor (GCF) of 4185 and 4194 is 9.

GCF(4185,4194) = 9

We will now calculate the prime factors of 4185 and 4194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4185 and 4194.

How to find the GCF of 4185 and 4194?

We will first find the prime factorization of 4185 and 4194. After we will calculate the factors of 4185 and 4194 and find the biggest common factor number .

Step-1: Prime Factorization of 4185

Prime factors of 4185 are 3, 5, 31. Prime factorization of 4185 in exponential form is:

4185 = 3³ × 5¹ × 31¹

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 4185

List of positive integer factors of 4185 that divides 4185 without a remainder.

1, 3, 5, 9, 15, 27, 31, 45, 93, 135, 155, 279, 465, 837, 1395

Step-4: Factors of 4194

List of positive integer factors of 4194 that divides 4185 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 4185 and 4194. The biggest common factor number is the GCF number.
So the greatest common factor 4185 and 4194 is 9.

Also check out the Least Common Multiple of 4185 and 4194