What is the Greatest Common Factor of 273 and 279?

Greatest common factor (GCF) of 273 and 279 is 3.

GCF(273,279) = 3

We will now calculate the prime factors of 273 and 279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 273 and 279.

How to find the GCF of 273 and 279?

We will first find the prime factorization of 273 and 279. After we will calculate the factors of 273 and 279 and find the biggest common factor number .

Step-1: Prime Factorization of 273

Prime factors of 273 are 3, 7, 13. Prime factorization of 273 in exponential form is:

273 = 3¹ × 7¹ × 13¹

Step-2: Prime Factorization of 279

Prime factors of 279 are 3, 31. Prime factorization of 279 in exponential form is:

279 = 3² × 31¹

Step-3: Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91

Step-4: Factors of 279

List of positive integer factors of 279 that divides 273 without a remainder.

1, 3, 9, 31, 93

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 273 and 279. The biggest common factor number is the GCF number.
So the greatest common factor 273 and 279 is 3.

Also check out the Least Common Multiple of 273 and 279