What is the Greatest Common Factor of 27249 and 27261?

Greatest common factor (GCF) of 27249 and 27261 is 3.

GCF(27249,27261) = 3

We will now calculate the prime factors of 27249 and 27261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27249 and 27261.

How to find the GCF of 27249 and 27261?

We will first find the prime factorization of 27249 and 27261. After we will calculate the factors of 27249 and 27261 and find the biggest common factor number .

Step-1: Prime Factorization of 27249

Prime factors of 27249 are 3, 31, 293. Prime factorization of 27249 in exponential form is:

27249 = 3¹ × 31¹ × 293¹

Step-2: Prime Factorization of 27261

Prime factors of 27261 are 3, 13, 233. Prime factorization of 27261 in exponential form is:

27261 = 3² × 13¹ × 233¹

Step-3: Factors of 27249

List of positive integer factors of 27249 that divides 27249 without a remainder.

1, 3, 31, 93, 293, 879, 9083

Step-4: Factors of 27261

List of positive integer factors of 27261 that divides 27249 without a remainder.

1, 3, 9, 13, 39, 117, 233, 699, 2097, 3029, 9087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27249 and 27261. The biggest common factor number is the GCF number.
So the greatest common factor 27249 and 27261 is 3.

Also check out the Least Common Multiple of 27249 and 27261