Greatest Common Factor of 2728 and 2730

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 2728, 2730 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2728 and 2730 is 2.

GCF(2728,2730) = 2

GCF of 2728 and 2730

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

GCF of:
and

Greatest Common Factor of 2728 and 2730

GCF of 2728 and 2730 is 2

Prime Factorization of 2728


2 2728
2 1364
2 682
11 341
31 31
1

Prime factors of 2728 are 2,11,31. Prime factorization of 2728 in exponential form is:

2728 = 23×111×311

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

∴ So by taking common prime factors GCF of 2728 and 2730 is 2

Greatest Common Factor of 2728 and 2730 by matching factors method

Factors of 2728

List of positive integer factors of 2728 that divides 2728 without a remainder.

1,2,4,8,11,22,31,44,62,88,124,248,341,682,1364,2728

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

Greatest Common Factor

We found the factors and prime factorization of 2728 and 2730. The biggest common factor number is the GCF number.
So the greatest common factor 2728 and 2730 is 2.

Also check out the Least Common Multiple of 2728 and 2730

Properties of GCF 2728 and 2730

(i) The GCF of 2728 and 2730 is associative

GCF of 2728 and 2730 = GCF of 2730 and 2728

Related Greatest Common Factor of 2728

Related Greatest Common Factor of 2730

Frequently Asked Questions on GCF of 2728 and 2730

1. What is the GCF of 2728 and 2730?

Answer: GCF of 2728 and 2730 is 2.

2. What are the Factors of 2728?

Answer: Factors of 2728 are 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364, 2728. There are 16 integers that are factors of 2728. The greatest factor of 2728 is 2728.

3. 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.

4. How to Find the GCF of 2728 and 2730?

Answer:

Greatest Common Factor of 2728 and 2730 = 2

Step 1: Find the prime factorization of 2728

2728 = 2 x 2 x 2 x 11 x 31

Step 2: Find the prime factorization of 2730

2730 = 2 x 3 x 5 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 = 2

Step 4: Therefore, the greatest common factor of 2728 and 2730 is 2