What is the Greatest Common Factor of 54186 and 54198?

Greatest common factor (GCF) of 54186 and 54198 is 6.

GCF(54186,54198) = 6

We will now calculate the prime factors of 54186 and 54198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54186 and 54198.

How to find the GCF of 54186 and 54198?

We will first find the prime factorization of 54186 and 54198. After we will calculate the factors of 54186 and 54198 and find the biggest common factor number .

Step-1: Prime Factorization of 54186

Prime factors of 54186 are 2, 3, 11, 821. Prime factorization of 54186 in exponential form is:

54186 = 2¹ × 3¹ × 11¹ × 821¹

Step-2: Prime Factorization of 54198

Prime factors of 54198 are 2, 3, 3011. Prime factorization of 54198 in exponential form is:

54198 = 2¹ × 3² × 3011¹

Step-3: Factors of 54186

List of positive integer factors of 54186 that divides 54186 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 821, 1642, 2463, 4926, 9031, 18062, 27093

Step-4: Factors of 54198

List of positive integer factors of 54198 that divides 54186 without a remainder.

1, 2, 3, 6, 9, 18, 3011, 6022, 9033, 18066, 27099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54186 and 54198. The biggest common factor number is the GCF number.
So the greatest common factor 54186 and 54198 is 6.

Also check out the Least Common Multiple of 54186 and 54198