What is the Greatest Common Factor of 27225 and 27231?

Greatest common factor (GCF) of 27225 and 27231 is 3.

GCF(27225,27231) = 3

We will now calculate the prime factors of 27225 and 27231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27225 and 27231.

How to find the GCF of 27225 and 27231?

We will first find the prime factorization of 27225 and 27231. After we will calculate the factors of 27225 and 27231 and find the biggest common factor number .

Step-1: Prime Factorization of 27225

Prime factors of 27225 are 3, 5, 11. Prime factorization of 27225 in exponential form is:

27225 = 3² × 5² × 11²

Step-2: Prime Factorization of 27231

Prime factors of 27231 are 3, 29, 313. Prime factorization of 27231 in exponential form is:

27231 = 3¹ × 29¹ × 313¹

Step-3: Factors of 27225

List of positive integer factors of 27225 that divides 27225 without a remainder.

1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 121, 165, 225, 275, 363, 495, 605, 825, 1089, 1815, 2475, 3025, 5445, 9075

Step-4: Factors of 27231

List of positive integer factors of 27231 that divides 27225 without a remainder.

1, 3, 29, 87, 313, 939, 9077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27225 and 27231. The biggest common factor number is the GCF number.
So the greatest common factor 27225 and 27231 is 3.

Also check out the Least Common Multiple of 27225 and 27231