Greatest Common Factor of 270 and 273

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 270, 273 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 270 and 273 is 3.

GCF(270,273) = 3

GCF of 270 and 273

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

GCF of:
and

Greatest Common Factor of 270 and 273

GCF of 270 and 273 is 3

Prime Factorization of 270


2 270
3 135
3 45
3 15
5 5
1

Prime factors of 270 are 2,3,5. Prime factorization of 270 in exponential form is:

270 = 21×33×51

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

∴ So by taking common prime factors GCF of 270 and 273 is 3

Greatest Common Factor of 270 and 273 by matching factors method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 273

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

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

Greatest Common Factor

We found the factors and prime factorization of 270 and 273. The biggest common factor number is the GCF number.
So the greatest common factor 270 and 273 is 3.

Also check out the Least Common Multiple of 270 and 273

Properties of GCF 270 and 273

(i) The GCF of 270 and 273 is associative

GCF of 270 and 273 = GCF of 273 and 270

Related Greatest Common Factor of 270

Related Greatest Common Factor of 273

Frequently Asked Questions on GCF of 270 and 273

1. What is the GCF of 270 and 273?

Answer: GCF of 270 and 273 is 3.

2. What are the Factors of 270?

Answer: Factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270. There are 16 integers that are factors of 270. The greatest factor of 270 is 270.

3. 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.

4. How to Find the GCF of 270 and 273?

Answer:

Greatest Common Factor of 270 and 273 = 3

Step 1: Find the prime factorization of 270

270 = 2 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 273

273 = 3 x 7 x 13

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 270 and 273 is 3