Greatest Common Factor of 2856 and 2864

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 2856, 2864 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2856 and 2864 is 8.

GCF(2856,2864) = 8

GCF of 2856 and 2864

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

GCF of:
and

Greatest Common Factor of 2856 and 2864

GCF of 2856 and 2864 is 8

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

Prime Factorization of 2864


2 2864
2 1432
2 716
2 358
179 179
1

Prime factors of 2864 are 2,179. Prime factorization of 2864 in exponential form is:

2864 = 24×1791

∴ So by taking common prime factors GCF of 2856 and 2864 is 8

Greatest Common Factor of 2856 and 2864 by matching factors method

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

Factors of 2864

List of positive integer factors of 2864 that divides 2864 without a remainder.

1,2,4,8,16,179,358,716,1432,2864

Greatest Common Factor

We found the factors and prime factorization of 2856 and 2864. The biggest common factor number is the GCF number.
So the greatest common factor 2856 and 2864 is 8.

Also check out the Least Common Multiple of 2856 and 2864

Properties of GCF 2856 and 2864

(i) The GCF of 2856 and 2864 is associative

GCF of 2856 and 2864 = GCF of 2864 and 2856

Related Greatest Common Factor of 2856

Related Greatest Common Factor of 2864

Frequently Asked Questions on GCF of 2856 and 2864

1. What is the GCF of 2856 and 2864?

Answer: GCF of 2856 and 2864 is 8.

2. 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.

3. What are the Factors of 2864?

Answer: Factors of 2864 are 1, 2, 4, 8, 16, 179, 358, 716, 1432, 2864. There are 10 integers that are factors of 2864. The greatest factor of 2864 is 2864.

4. How to Find the GCF of 2856 and 2864?

Answer:

Greatest Common Factor of 2856 and 2864 = 8

Step 1: Find the prime factorization of 2856

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

Step 2: Find the prime factorization of 2864

2864 = 2 x 2 x 2 x 2 x 179

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 2856 and 2864 is 8