What is the Greatest Common Factor of 27267 and 27279?

Greatest common factor (GCF) of 27267 and 27279 is 3.

GCF(27267,27279) = 3

We will now calculate the prime factors of 27267 and 27279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27267 and 27279.

How to find the GCF of 27267 and 27279?

We will first find the prime factorization of 27267 and 27279. After we will calculate the factors of 27267 and 27279 and find the biggest common factor number .

Step-1: Prime Factorization of 27267

Prime factors of 27267 are 3, 61, 149. Prime factorization of 27267 in exponential form is:

27267 = 3¹ × 61¹ × 149¹

Step-2: Prime Factorization of 27279

Prime factors of 27279 are 3, 7, 433. Prime factorization of 27279 in exponential form is:

27279 = 3² × 7¹ × 433¹

Step-3: Factors of 27267

List of positive integer factors of 27267 that divides 27267 without a remainder.

1, 3, 61, 149, 183, 447, 9089

Step-4: Factors of 27279

List of positive integer factors of 27279 that divides 27267 without a remainder.

1, 3, 7, 9, 21, 63, 433, 1299, 3031, 3897, 9093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27267 and 27279. The biggest common factor number is the GCF number.
So the greatest common factor 27267 and 27279 is 3.

Also check out the Least Common Multiple of 27267 and 27279