Greatest Common Factor of 2730 and 2737

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, 2737 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2730 and 2737 is 7.

GCF(2730,2737) = 7

GCF of 2730 and 2737

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

GCF of:
and

Greatest Common Factor of 2730 and 2737

GCF of 2730 and 2737 is 7

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 2737


7 2737
17 391
23 23
1

Prime factors of 2737 are 7,17,23. Prime factorization of 2737 in exponential form is:

2737 = 71×171×231

∴ So by taking common prime factors GCF of 2730 and 2737 is 7

Greatest Common Factor of 2730 and 2737 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 2737

List of positive integer factors of 2737 that divides 2737 without a remainder.

1,7,17,23,119,161,391,2737

Greatest Common Factor

We found the factors and prime factorization of 2730 and 2737. The biggest common factor number is the GCF number.
So the greatest common factor 2730 and 2737 is 7.

Also check out the Least Common Multiple of 2730 and 2737

Properties of GCF 2730 and 2737

(i) The GCF of 2730 and 2737 is associative

GCF of 2730 and 2737 = GCF of 2737 and 2730

Related Greatest Common Factor of 2730

Related Greatest Common Factor of 2737

Frequently Asked Questions on GCF of 2730 and 2737

1. What is the GCF of 2730 and 2737?

Answer: GCF of 2730 and 2737 is 7.

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 2737?

Answer: Factors of 2737 are 1, 7, 17, 23, 119, 161, 391, 2737. There are 8 integers that are factors of 2737. The greatest factor of 2737 is 2737.

4. How to Find the GCF of 2730 and 2737?

Answer:

Greatest Common Factor of 2730 and 2737 = 7

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 2737

2737 = 7 x 17 x 23

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

GCF = 7

Step 4: Therefore, the greatest common factor of 2730 and 2737 is 7