What is the Greatest Common Factor of 54205 and 54225?

Greatest common factor (GCF) of 54205 and 54225 is 5.

GCF(54205,54225) = 5

We will now calculate the prime factors of 54205 and 54225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54205 and 54225.

How to find the GCF of 54205 and 54225?

We will first find the prime factorization of 54205 and 54225. After we will calculate the factors of 54205 and 54225 and find the biggest common factor number .

Step-1: Prime Factorization of 54205

Prime factors of 54205 are 5, 37, 293. Prime factorization of 54205 in exponential form is:

54205 = 5¹ × 37¹ × 293¹

Step-2: 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-3: Factors of 54205

List of positive integer factors of 54205 that divides 54205 without a remainder.

1, 5, 37, 185, 293, 1465, 10841

Step-4: Factors of 54225

List of positive integer factors of 54225 that divides 54205 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54205 and 54225. The biggest common factor number is the GCF number.
So the greatest common factor 54205 and 54225 is 5.

Also check out the Least Common Multiple of 54205 and 54225