Greatest Common Factor of 273 and 279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 273, 279 i.e. 3 largest integer by which both the numbers can be divided.

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

GCF(273,279) = 3

GCF of 273 and 279

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 273 and 279

GCF of 273 and 279 is 3

Prime Factorization of 273


3 273
7 91
13 13
1

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

273 = 31×71×131

Prime Factorization of 279


3 279
3 93
31 31
1

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

279 = 32×311

∴ So by taking common prime factors GCF of 273 and 279 is 3

Greatest Common Factor of 273 and 279 by matching factors method

Factors of 273

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

1,3,7,13,21,39,91,273

Factors of 279

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

1,3,9,31,93,279

Greatest Common Factor

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

Properties of GCF 273 and 279

(i) The GCF of 273 and 279 is associative

GCF of 273 and 279 = GCF of 279 and 273

Related Greatest Common Factor of 273

Related Greatest Common Factor of 279

Frequently Asked Questions on GCF of 273 and 279

1. What is the GCF of 273 and 279?

Answer: GCF of 273 and 279 is 3.

2. What are the Factors of 273?

Answer: Factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273. There are 8 integers that are factors of 273. The greatest factor of 273 is 273.

3. What are the Factors of 279?

Answer: Factors of 279 are 1, 3, 9, 31, 93, 279. There are 6 integers that are factors of 279. The greatest factor of 279 is 279.

4. How to Find the GCF of 273 and 279?

Answer:

Greatest Common Factor of 273 and 279 = 3

Step 1: Find the prime factorization of 273

273 = 3 x 7 x 13

Step 2: Find the prime factorization of 279

279 = 3 x 3 x 31

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 273 and 279 is 3