Greatest Common Factor of 6864 and 6871

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 6864, 6871 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6864 and 6871 is 1.

GCF(6864,6871) = 1

GCF of 6864 and 6871

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

GCF of:
and

Greatest Common Factor of 6864 and 6871

GCF of 6864 and 6871 is 1

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

Prime Factorization of 6871


6871 6871
1

Prime factors of 6871 are 6871. Prime factorization of 6871 in exponential form is:

6871 = 68711

∴ So by taking common prime factors GCF of 6864 and 6871 is 1

Greatest Common Factor of 6864 and 6871 by matching factors method

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

Factors of 6871

List of positive integer factors of 6871 that divides 6871 without a remainder.

1,6871

Greatest Common Factor

We found the factors and prime factorization of 6864 and 6871. The biggest common factor number is the GCF number.
So the greatest common factor 6864 and 6871 is 1.

Also check out the Least Common Multiple of 6864 and 6871

Properties of GCF 6864 and 6871

(i) The GCF of 6864 and 6871 is associative

GCF of 6864 and 6871 = GCF of 6871 and 6864

Related Greatest Common Factor of 6864

Related Greatest Common Factor of 6871

Frequently Asked Questions on GCF of 6864 and 6871

1. What is the GCF of 6864 and 6871?

Answer: GCF of 6864 and 6871 is 1.

2. 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.

3. What are the Factors of 6871?

Answer: Factors of 6871 are 1, 6871. There are 2 integers that are factors of 6871. The greatest factor of 6871 is 6871.

4. How to Find the GCF of 6864 and 6871?

Answer:

Greatest Common Factor of 6864 and 6871 = 1

Step 1: Find the prime factorization of 6864

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

Step 2: Find the prime factorization of 6871

6871 = 6871

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6864 and 6871 is 1