What is the Greatest Common Factor of 54225 and 54243?

Greatest common factor (GCF) of 54225 and 54243 is 9.

GCF(54225,54243) = 9

We will now calculate the prime factors of 54225 and 54243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54225 and 54243.

How to find the GCF of 54225 and 54243?

We will first find the prime factorization of 54225 and 54243. After we will calculate the factors of 54225 and 54243 and find the biggest common factor number .

Step-1: Prime Factorization of 54225

Prime factors of 54225 are 3, 5, 241. Prime factorization of 54225 in exponential form is:

54225 = 3² × 5² × 241¹

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 54225

List of positive integer factors of 54225 that divides 54225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 241, 723, 1205, 2169, 3615, 6025, 10845, 18075

Step-4: Factors of 54243

List of positive integer factors of 54243 that divides 54225 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 54225 and 54243. The biggest common factor number is the GCF number.
So the greatest common factor 54225 and 54243 is 9.

Also check out the Least Common Multiple of 54225 and 54243