What is the Greatest Common Factor of 27225 and 27241?

Greatest common factor (GCF) of 27225 and 27241 is 1.

GCF(27225,27241) = 1

We will now calculate the prime factors of 27225 and 27241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27225 and 27241.

How to find the GCF of 27225 and 27241?

We will first find the prime factorization of 27225 and 27241. After we will calculate the factors of 27225 and 27241 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 27241

Prime factors of 27241 are 27241. Prime factorization of 27241 in exponential form is:

27241 = 27241¹

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 27241

List of positive integer factors of 27241 that divides 27225 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27225 and 27241. The biggest common factor number is the GCF number.
So the greatest common factor 27225 and 27241 is 1.

Also check out the Least Common Multiple of 27225 and 27241