What is the Greatest Common Factor of 48255 and 48273?

Greatest common factor (GCF) of 48255 and 48273 is 3.

GCF(48255,48273) = 3

We will now calculate the prime factors of 48255 and 48273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48255 and 48273.

How to find the GCF of 48255 and 48273?

We will first find the prime factorization of 48255 and 48273. After we will calculate the factors of 48255 and 48273 and find the biggest common factor number .

Step-1: Prime Factorization of 48255

Prime factors of 48255 are 3, 5, 3217. Prime factorization of 48255 in exponential form is:

48255 = 3¹ × 5¹ × 3217¹

Step-2: Prime Factorization of 48273

Prime factors of 48273 are 3, 16091. Prime factorization of 48273 in exponential form is:

48273 = 3¹ × 16091¹

Step-3: Factors of 48255

List of positive integer factors of 48255 that divides 48255 without a remainder.

1, 3, 5, 15, 3217, 9651, 16085

Step-4: Factors of 48273

List of positive integer factors of 48273 that divides 48255 without a remainder.

1, 3, 16091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48255 and 48273. The biggest common factor number is the GCF number.
So the greatest common factor 48255 and 48273 is 3.

Also check out the Least Common Multiple of 48255 and 48273