Greatest Common Factor of 6856 and 6864

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 6856, 6864 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6856 and 6864 is 8.

GCF(6856,6864) = 8

GCF of 6856 and 6864

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

GCF of:
and

Greatest Common Factor of 6856 and 6864

GCF of 6856 and 6864 is 8

Prime Factorization of 6856


2 6856
2 3428
2 1714
857 857
1

Prime factors of 6856 are 2,857. Prime factorization of 6856 in exponential form is:

6856 = 23×8571

Prime Factorization of 6864


2 6864
2 3432
2 1716
2 858
3 429
11 143
13 13
1

Prime factors of 6864 are 2,3,11,13. Prime factorization of 6864 in exponential form is:

6864 = 24×31×111×131

∴ So by taking common prime factors GCF of 6856 and 6864 is 8

Greatest Common Factor of 6856 and 6864 by matching factors method

Factors of 6856

List of positive integer factors of 6856 that divides 6856 without a remainder.

1,2,4,8,857,1714,3428,6856

Factors of 6864

List of positive integer factors of 6864 that divides 6864 without a remainder.

1,2,3,4,6,8,11,12,13,16,22,24,26,33,39,44,48,52,66,78,88,104,132,143,156,176,208,264,286,312,429,528,572,624,858,1144,1716,2288,3432,6864

Greatest Common Factor

We found the factors and prime factorization of 6856 and 6864. The biggest common factor number is the GCF number.
So the greatest common factor 6856 and 6864 is 8.

Also check out the Least Common Multiple of 6856 and 6864

Properties of GCF 6856 and 6864

(i) The GCF of 6856 and 6864 is associative

GCF of 6856 and 6864 = GCF of 6864 and 6856

Related Greatest Common Factor of 6856

Related Greatest Common Factor of 6864

Frequently Asked Questions on GCF of 6856 and 6864

1. What is the GCF of 6856 and 6864?

Answer: GCF of 6856 and 6864 is 8.

2. What are the Factors of 6856?

Answer: Factors of 6856 are 1, 2, 4, 8, 857, 1714, 3428, 6856. There are 8 integers that are factors of 6856. The greatest factor of 6856 is 6856.

3. What are the Factors of 6864?

Answer: Factors of 6864 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 33, 39, 44, 48, 52, 66, 78, 88, 104, 132, 143, 156, 176, 208, 264, 286, 312, 429, 528, 572, 624, 858, 1144, 1716, 2288, 3432, 6864. There are 40 integers that are factors of 6864. The greatest factor of 6864 is 6864.

4. How to Find the GCF of 6856 and 6864?

Answer:

Greatest Common Factor of 6856 and 6864 = 8

Step 1: Find the prime factorization of 6856

6856 = 2 x 2 x 2 x 857

Step 2: Find the prime factorization of 6864

6864 = 2 x 2 x 2 x 2 x 3 x 11 x 13

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 6856 and 6864 is 8