What is the Greatest Common Factor of 54225 and 54239?

Greatest common factor (GCF) of 54225 and 54239 is 1.

GCF(54225,54239) = 1

We will now calculate the prime factors of 54225 and 54239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54225 and 54239.

How to find the GCF of 54225 and 54239?

We will first find the prime factorization of 54225 and 54239. After we will calculate the factors of 54225 and 54239 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 54239

Prime factors of 54239 are 73, 743. Prime factorization of 54239 in exponential form is:

54239 = 73¹ × 743¹

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 54239

List of positive integer factors of 54239 that divides 54225 without a remainder.

1, 73, 743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54225 and 54239. The biggest common factor number is the GCF number.
So the greatest common factor 54225 and 54239 is 1.

Also check out the Least Common Multiple of 54225 and 54239