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 6821, 6828 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6821 and 6828 is 1.
GCF(6821,6828) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 6828
2 | 6828 |
2 | 3414 |
3 | 1707 |
569 | 569 |
1 |
Prime factors of 6828 are 2,3,569. Prime factorization of 6828 in exponential form is:
6828 = 22×31×5691
∴ So by taking common prime factors GCF of 6821 and 6828 is 1
Factors of 6821
List of positive integer factors of 6821 that divides 6821 without a remainder.
1,19,359,6821
Factors of 6828
List of positive integer factors of 6828 that divides 6828 without a remainder.
1,2,3,4,6,12,569,1138,1707,2276,3414,6828
Greatest Common Factor
We found the factors and prime factorization of 6821 and 6828. The biggest common factor number is the GCF number.
So the greatest common factor 6821 and 6828 is 1.
Also check out the Least Common Multiple of 6821 and 6828
(i) The GCF of 6821 and 6828 is associative
GCF of 6821 and 6828 = GCF of 6828 and 6821
1. What is the GCF of 6821 and 6828?
Answer: GCF of 6821 and 6828 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 6828?
Answer: Factors of 6828 are 1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828. There are 12 integers that are factors of 6828. The greatest factor of 6828 is 6828.
4. How to Find the GCF of 6821 and 6828?
Answer:
Greatest Common Factor of 6821 and 6828 = 1
Step 1: Find the prime factorization of 6821
6821 = 19 x 359
Step 2: Find the prime factorization of 6828
6828 = 2 x 2 x 3 x 569
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 6828 is 1