Greatest Common Factor of 2849 and 2856

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 2849, 2856 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2849 and 2856 is 7.

GCF(2849,2856) = 7

GCF of 2849 and 2856

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

GCF of:
and

Greatest Common Factor of 2849 and 2856

GCF of 2849 and 2856 is 7

Prime Factorization of 2849


7 2849
11 407
37 37
1

Prime factors of 2849 are 7,11,37. Prime factorization of 2849 in exponential form is:

2849 = 71×111×371

Prime Factorization of 2856


2 2856
2 1428
2 714
3 357
7 119
17 17
1

Prime factors of 2856 are 2,3,7,17. Prime factorization of 2856 in exponential form is:

2856 = 23×31×71×171

∴ So by taking common prime factors GCF of 2849 and 2856 is 7

Greatest Common Factor of 2849 and 2856 by matching factors method

Factors of 2849

List of positive integer factors of 2849 that divides 2849 without a remainder.

1,7,11,37,77,259,407,2849

Factors of 2856

List of positive integer factors of 2856 that divides 2856 without a remainder.

1,2,3,4,6,7,8,12,14,17,21,24,28,34,42,51,56,68,84,102,119,136,168,204,238,357,408,476,714,952,1428,2856

Greatest Common Factor

We found the factors and prime factorization of 2849 and 2856. The biggest common factor number is the GCF number.
So the greatest common factor 2849 and 2856 is 7.

Also check out the Least Common Multiple of 2849 and 2856

Properties of GCF 2849 and 2856

(i) The GCF of 2849 and 2856 is associative

GCF of 2849 and 2856 = GCF of 2856 and 2849

Related Greatest Common Factor of 2849

Related Greatest Common Factor of 2856

Frequently Asked Questions on GCF of 2849 and 2856

1. What is the GCF of 2849 and 2856?

Answer: GCF of 2849 and 2856 is 7.

2. What are the Factors of 2849?

Answer: Factors of 2849 are 1, 7, 11, 37, 77, 259, 407, 2849. There are 8 integers that are factors of 2849. The greatest factor of 2849 is 2849.

3. What are the Factors of 2856?

Answer: Factors of 2856 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 51, 56, 68, 84, 102, 119, 136, 168, 204, 238, 357, 408, 476, 714, 952, 1428, 2856. There are 32 integers that are factors of 2856. The greatest factor of 2856 is 2856.

4. How to Find the GCF of 2849 and 2856?

Answer:

Greatest Common Factor of 2849 and 2856 = 7

Step 1: Find the prime factorization of 2849

2849 = 7 x 11 x 37

Step 2: Find the prime factorization of 2856

2856 = 2 x 2 x 2 x 3 x 7 x 17

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 2849 and 2856 is 7