Greatest Common Factor of 2704 and 2706

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 2704, 2706 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2704 and 2706 is 2.

GCF(2704,2706) = 2

GCF of 2704 and 2706

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

GCF of:
and

Greatest Common Factor of 2704 and 2706

GCF of 2704 and 2706 is 2

Prime Factorization of 2704


2 2704
2 1352
2 676
2 338
13 169
13 13
1

Prime factors of 2704 are 2,13. Prime factorization of 2704 in exponential form is:

2704 = 24×132

Prime Factorization of 2706


2 2706
3 1353
11 451
41 41
1

Prime factors of 2706 are 2,3,11,41. Prime factorization of 2706 in exponential form is:

2706 = 21×31×111×411

∴ So by taking common prime factors GCF of 2704 and 2706 is 2

Greatest Common Factor of 2704 and 2706 by matching factors method

Factors of 2704

List of positive integer factors of 2704 that divides 2704 without a remainder.

1,2,4,8,13,16,26,52,104,169,208,338,676,1352,2704

Factors of 2706

List of positive integer factors of 2706 that divides 2706 without a remainder.

1,2,3,6,11,22,33,41,66,82,123,246,451,902,1353,2706

Greatest Common Factor

We found the factors and prime factorization of 2704 and 2706. The biggest common factor number is the GCF number.
So the greatest common factor 2704 and 2706 is 2.

Also check out the Least Common Multiple of 2704 and 2706

Properties of GCF 2704 and 2706

(i) The GCF of 2704 and 2706 is associative

GCF of 2704 and 2706 = GCF of 2706 and 2704

Related Greatest Common Factor of 2704

Related Greatest Common Factor of 2706

Frequently Asked Questions on GCF of 2704 and 2706

1. What is the GCF of 2704 and 2706?

Answer: GCF of 2704 and 2706 is 2.

2. What are the Factors of 2704?

Answer: Factors of 2704 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704. There are 15 integers that are factors of 2704. The greatest factor of 2704 is 2704.

3. What are the Factors of 2706?

Answer: Factors of 2706 are 1, 2, 3, 6, 11, 22, 33, 41, 66, 82, 123, 246, 451, 902, 1353, 2706. There are 16 integers that are factors of 2706. The greatest factor of 2706 is 2706.

4. How to Find the GCF of 2704 and 2706?

Answer:

Greatest Common Factor of 2704 and 2706 = 2

Step 1: Find the prime factorization of 2704

2704 = 2 x 2 x 2 x 2 x 13 x 13

Step 2: Find the prime factorization of 2706

2706 = 2 x 3 x 11 x 41

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 2704 and 2706 is 2