Greatest Common Factor of 6851 and 6855

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 6851, 6855 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6851 and 6855 is 1.

GCF(6851,6855) = 1

GCF of 6851 and 6855

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

GCF of:
and

Greatest Common Factor of 6851 and 6855

GCF of 6851 and 6855 is 1

Prime Factorization of 6851


13 6851
17 527
31 31
1

Prime factors of 6851 are 13,17,31. Prime factorization of 6851 in exponential form is:

6851 = 131×171×311

Prime Factorization of 6855


3 6855
5 2285
457 457
1

Prime factors of 6855 are 3,5,457. Prime factorization of 6855 in exponential form is:

6855 = 31×51×4571

∴ So by taking common prime factors GCF of 6851 and 6855 is 1

Greatest Common Factor of 6851 and 6855 by matching factors method

Factors of 6851

List of positive integer factors of 6851 that divides 6851 without a remainder.

1,13,17,31,221,403,527,6851

Factors of 6855

List of positive integer factors of 6855 that divides 6855 without a remainder.

1,3,5,15,457,1371,2285,6855

Greatest Common Factor

We found the factors and prime factorization of 6851 and 6855. The biggest common factor number is the GCF number.
So the greatest common factor 6851 and 6855 is 1.

Also check out the Least Common Multiple of 6851 and 6855

Properties of GCF 6851 and 6855

(i) The GCF of 6851 and 6855 is associative

GCF of 6851 and 6855 = GCF of 6855 and 6851

Frequently Asked Questions on GCF of 6851 and 6855

1. What is the GCF of 6851 and 6855?

Answer: GCF of 6851 and 6855 is 1.

2. What are the Factors of 6851?

Answer: Factors of 6851 are 1, 13, 17, 31, 221, 403, 527, 6851. There are 8 integers that are factors of 6851. The greatest factor of 6851 is 6851.

3. What are the Factors of 6855?

Answer: Factors of 6855 are 1, 3, 5, 15, 457, 1371, 2285, 6855. There are 8 integers that are factors of 6855. The greatest factor of 6855 is 6855.

4. How to Find the GCF of 6851 and 6855?

Answer:

Greatest Common Factor of 6851 and 6855 = 1

Step 1: Find the prime factorization of 6851

6851 = 13 x 17 x 31

Step 2: Find the prime factorization of 6855

6855 = 3 x 5 x 457

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 6851 and 6855 is 1