Greatest Common Factor of 2730 and 2735

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 2730, 2735 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2730 and 2735 is 5.

GCF(2730,2735) = 5

GCF of 2730 and 2735

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

GCF of:
and

Greatest Common Factor of 2730 and 2735

GCF of 2730 and 2735 is 5

Prime Factorization of 2730


2 2730
3 1365
5 455
7 91
13 13
1

Prime factors of 2730 are 2,3,5,7,13. Prime factorization of 2730 in exponential form is:

2730 = 21×31×51×71×131

Prime Factorization of 2735


5 2735
547 547
1

Prime factors of 2735 are 5,547. Prime factorization of 2735 in exponential form is:

2735 = 51×5471

∴ So by taking common prime factors GCF of 2730 and 2735 is 5

Greatest Common Factor of 2730 and 2735 by matching factors method

Factors of 2730

List of positive integer factors of 2730 that divides 2730 without a remainder.

1,2,3,5,6,7,10,13,14,15,21,26,30,35,39,42,65,70,78,91,105,130,182,195,210,273,390,455,546,910,1365,2730

Factors of 2735

List of positive integer factors of 2735 that divides 2735 without a remainder.

1,5,547,2735

Greatest Common Factor

We found the factors and prime factorization of 2730 and 2735. The biggest common factor number is the GCF number.
So the greatest common factor 2730 and 2735 is 5.

Also check out the Least Common Multiple of 2730 and 2735

Properties of GCF 2730 and 2735

(i) The GCF of 2730 and 2735 is associative

GCF of 2730 and 2735 = GCF of 2735 and 2730

Related Greatest Common Factor of 2730

Related Greatest Common Factor of 2735

Frequently Asked Questions on GCF of 2730 and 2735

1. What is the GCF of 2730 and 2735?

Answer: GCF of 2730 and 2735 is 5.

2. What are the Factors of 2730?

Answer: Factors of 2730 are 1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, 1365, 2730. There are 32 integers that are factors of 2730. The greatest factor of 2730 is 2730.

3. What are the Factors of 2735?

Answer: Factors of 2735 are 1, 5, 547, 2735. There are 4 integers that are factors of 2735. The greatest factor of 2735 is 2735.

4. How to Find the GCF of 2730 and 2735?

Answer:

Greatest Common Factor of 2730 and 2735 = 5

Step 1: Find the prime factorization of 2730

2730 = 2 x 3 x 5 x 7 x 13

Step 2: Find the prime factorization of 2735

2735 = 5 x 547

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

GCF = 5

Step 4: Therefore, the greatest common factor of 2730 and 2735 is 5