Greatest Common Factor of 6814 and 6821

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, 6821 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6814 and 6821 is 1.

GCF(6814,6821) = 1

GCF of 6814 and 6821

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

GCF of:
and

Greatest Common Factor of 6814 and 6821

GCF of 6814 and 6821 is 1

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 6821


19 6821
359 359
1

Prime factors of 6821 are 19,359. Prime factorization of 6821 in exponential form is:

6821 = 191×3591

∴ So by taking common prime factors GCF of 6814 and 6821 is 1

Greatest Common Factor of 6814 and 6821 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 6821

List of positive integer factors of 6821 that divides 6821 without a remainder.

1,19,359,6821

Greatest Common Factor

We found the factors and prime factorization of 6814 and 6821. The biggest common factor number is the GCF number.
So the greatest common factor 6814 and 6821 is 1.

Also check out the Least Common Multiple of 6814 and 6821

Properties of GCF 6814 and 6821

(i) The GCF of 6814 and 6821 is associative

GCF of 6814 and 6821 = GCF of 6821 and 6814

Related Greatest Common Factor of 6814

Related Greatest Common Factor of 6821

Frequently Asked Questions on GCF of 6814 and 6821

1. What is the GCF of 6814 and 6821?

Answer: GCF of 6814 and 6821 is 1.

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 6821?

Answer: Factors of 6821 are 1, 19, 359, 6821. There are 4 integers that are factors of 6821. The greatest factor of 6821 is 6821.

4. How to Find the GCF of 6814 and 6821?

Answer:

Greatest Common Factor of 6814 and 6821 = 1

Step 1: Find the prime factorization of 6814

6814 = 2 x 3407

Step 2: Find the prime factorization of 6821

6821 = 19 x 359

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 6814 and 6821 is 1