Greatest Common Factor of 6814 and 6818

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 6814, 6818 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6814 and 6818 is 2.

GCF(6814,6818) = 2

GCF of 6814 and 6818

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

GCF of:
and

Greatest Common Factor of 6814 and 6818

GCF of 6814 and 6818 is 2

Prime Factorization of 6814


2 6814
3407 3407
1

Prime factors of 6814 are 2,3407. Prime factorization of 6814 in exponential form is:

6814 = 21×34071

Prime Factorization of 6818


2 6818
7 3409
487 487
1

Prime factors of 6818 are 2,7,487. Prime factorization of 6818 in exponential form is:

6818 = 21×71×4871

∴ So by taking common prime factors GCF of 6814 and 6818 is 2

Greatest Common Factor of 6814 and 6818 by matching factors method

Factors of 6814

List of positive integer factors of 6814 that divides 6814 without a remainder.

1,2,3407,6814

Factors of 6818

List of positive integer factors of 6818 that divides 6818 without a remainder.

1,2,7,14,487,974,3409,6818

Greatest Common Factor

We found the factors and prime factorization of 6814 and 6818. The biggest common factor number is the GCF number.
So the greatest common factor 6814 and 6818 is 2.

Also check out the Least Common Multiple of 6814 and 6818

Properties of GCF 6814 and 6818

(i) The GCF of 6814 and 6818 is associative

GCF of 6814 and 6818 = GCF of 6818 and 6814

Related Greatest Common Factor of 6814

Related Greatest Common Factor of 6818

Frequently Asked Questions on GCF of 6814 and 6818

1. What is the GCF of 6814 and 6818?

Answer: GCF of 6814 and 6818 is 2.

2. What are the Factors of 6814?

Answer: Factors of 6814 are 1, 2, 3407, 6814. There are 4 integers that are factors of 6814. The greatest factor of 6814 is 6814.

3. What are the Factors of 6818?

Answer: Factors of 6818 are 1, 2, 7, 14, 487, 974, 3409, 6818. There are 8 integers that are factors of 6818. The greatest factor of 6818 is 6818.

4. How to Find the GCF of 6814 and 6818?

Answer:

Greatest Common Factor of 6814 and 6818 = 2

Step 1: Find the prime factorization of 6814

6814 = 2 x 3407

Step 2: Find the prime factorization of 6818

6818 = 2 x 7 x 487

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6814 and 6818 is 2