Greatest Common Factor of 6821 and 6827

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

• Greatest Common Factor of 6821 and 6827 by prime factorization method
• Greatest Common Factor of 6821 and 6827 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 6827

Prime factors of 6827 are 6827. Prime factorization of 6827 in exponential form is:

6827 = 6827¹

∴ So by taking common prime factors GCF of 6821 and 6827 is 1

Factors of 6821

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

1,19,359,6821

Factors of 6827

List of positive integer factors of 6827 that divides 6827 without a remainder.

1,6827

Greatest Common Factor

We found the factors and prime factorization of 6821 and 6827. The biggest common factor number is the GCF number.
So the greatest common factor 6821 and 6827 is 1.

Also check out the Least Common Multiple of 6821 and 6827

(i) The GCF of 6821 and 6827 is associative

GCF of 6821 and 6827 = GCF of 6827 and 6821

1. What is the GCF of 6821 and 6827?

Answer: GCF of 6821 and 6827 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 6827?

Answer: Factors of 6827 are 1, 6827. There are 2 integers that are factors of 6827. The greatest factor of 6827 is 6827.

4. How to Find the GCF of 6821 and 6827?

Answer:

Greatest Common Factor of 6821 and 6827 = 1

Step 1: Find the prime factorization of 6821

6821 = 19 x 359

Step 2: Find the prime factorization of 6827

6827 = 6827

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 6827 is 1