What is the Greatest Common Factor of 54227 and 54243?

Greatest common factor (GCF) of 54227 and 54243 is 1.

GCF(54227,54243) = 1

We will now calculate the prime factors of 54227 and 54243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54227 and 54243.

How to find the GCF of 54227 and 54243?

We will first find the prime factorization of 54227 and 54243. After we will calculate the factors of 54227 and 54243 and find the biggest common factor number .

Step-1: Prime Factorization of 54227

Prime factors of 54227 are 211, 257. Prime factorization of 54227 in exponential form is:

54227 = 211¹ × 257¹

Step-2: Prime Factorization of 54243

Prime factors of 54243 are 3, 7, 41. Prime factorization of 54243 in exponential form is:

54243 = 3³ × 7² × 41¹

Step-3: Factors of 54227

List of positive integer factors of 54227 that divides 54227 without a remainder.

1, 211, 257

Step-4: Factors of 54243

List of positive integer factors of 54243 that divides 54227 without a remainder.

1, 3, 7, 9, 21, 27, 41, 49, 63, 123, 147, 189, 287, 369, 441, 861, 1107, 1323, 2009, 2583, 6027, 7749, 18081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54227 and 54243. The biggest common factor number is the GCF number.
So the greatest common factor 54227 and 54243 is 1.

Also check out the Least Common Multiple of 54227 and 54243