What is the Greatest Common Factor of 27255 and 27273?

Greatest common factor (GCF) of 27255 and 27273 is 3.

GCF(27255,27273) = 3

We will now calculate the prime factors of 27255 and 27273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27255 and 27273.

How to find the GCF of 27255 and 27273?

We will first find the prime factorization of 27255 and 27273. After we will calculate the factors of 27255 and 27273 and find the biggest common factor number .

Step-1: Prime Factorization of 27255

Prime factors of 27255 are 3, 5, 23, 79. Prime factorization of 27255 in exponential form is:

27255 = 3¹ × 5¹ × 23¹ × 79¹

Step-2: Prime Factorization of 27273

Prime factors of 27273 are 3, 9091. Prime factorization of 27273 in exponential form is:

27273 = 3¹ × 9091¹

Step-3: Factors of 27255

List of positive integer factors of 27255 that divides 27255 without a remainder.

1, 3, 5, 15, 23, 69, 79, 115, 237, 345, 395, 1185, 1817, 5451, 9085

Step-4: Factors of 27273

List of positive integer factors of 27273 that divides 27255 without a remainder.

1, 3, 9091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27255 and 27273. The biggest common factor number is the GCF number.
So the greatest common factor 27255 and 27273 is 3.

Also check out the Least Common Multiple of 27255 and 27273