Greatest Common Factor of 6821 and 6829

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

• Greatest Common Factor of 6821 and 6829 by prime factorization method
• Greatest Common Factor of 6821 and 6829 by matching factors method

Prime Factorization of 6821

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

6821 = 19¹×359¹

Prime Factorization of 6829

Prime factors of 6829 are 6829. Prime factorization of 6829 in exponential form is:

6829 = 6829¹

∴ So by taking common prime factors GCF of 6821 and 6829 is 1

Factors of 6821

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

1,19,359,6821

Factors of 6829

List of positive integer factors of 6829 that divides 6829 without a remainder.

1,6829

Greatest Common Factor

We found the factors and prime factorization of 6821 and 6829. The biggest common factor number is the GCF number.
So the greatest common factor 6821 and 6829 is 1.

Also check out the Least Common Multiple of 6821 and 6829

(i) The GCF of 6821 and 6829 is associative

GCF of 6821 and 6829 = GCF of 6829 and 6821

1. What is the GCF of 6821 and 6829?

Answer: GCF of 6821 and 6829 is 1.

2. 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.

3. What are the Factors of 6829?

Answer: Factors of 6829 are 1, 6829. There are 2 integers that are factors of 6829. The greatest factor of 6829 is 6829.

4. How to Find the GCF of 6821 and 6829?

Answer:

Greatest Common Factor of 6821 and 6829 = 1

Step 1: Find the prime factorization of 6821

6821 = 19 x 359

Step 2: Find the prime factorization of 6829

6829 = 6829

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 6821 and 6829 is 1