What is the Greatest Common Factor of 273 and 287?

Greatest common factor (GCF) of 273 and 287 is 7.

GCF(273,287) = 7

We will now calculate the prime factors of 273 and 287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 273 and 287.

How to find the GCF of 273 and 287?

We will first find the prime factorization of 273 and 287. After we will calculate the factors of 273 and 287 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 287

Prime factors of 287 are 7, 41. Prime factorization of 287 in exponential form is:

287 = 7¹ × 41¹

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 287

List of positive integer factors of 287 that divides 273 without a remainder.

1, 7, 41

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 273 and 287. The biggest common factor number is the GCF number.
So the greatest common factor 273 and 287 is 7.

Also check out the Least Common Multiple of 273 and 287