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 6921, 6928 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6921 and 6928 is 1.
GCF(6921,6928) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6921
3 | 6921 |
3 | 2307 |
769 | 769 |
1 |
Prime factors of 6921 are 3,769. Prime factorization of 6921 in exponential form is:
6921 = 32×7691
Prime Factorization of 6928
2 | 6928 |
2 | 3464 |
2 | 1732 |
2 | 866 |
433 | 433 |
1 |
Prime factors of 6928 are 2,433. Prime factorization of 6928 in exponential form is:
6928 = 24×4331
∴ So by taking common prime factors GCF of 6921 and 6928 is 1
Factors of 6921
List of positive integer factors of 6921 that divides 6921 without a remainder.
1,3,9,769,2307,6921
Factors of 6928
List of positive integer factors of 6928 that divides 6928 without a remainder.
1,2,4,8,16,433,866,1732,3464,6928
Greatest Common Factor
We found the factors and prime factorization of 6921 and 6928. The biggest common factor number is the GCF number.
So the greatest common factor 6921 and 6928 is 1.
Also check out the Least Common Multiple of 6921 and 6928
(i) The GCF of 6921 and 6928 is associative
GCF of 6921 and 6928 = GCF of 6928 and 6921
1. What is the GCF of 6921 and 6928?
Answer: GCF of 6921 and 6928 is 1.
2. What are the Factors of 6921?
Answer: Factors of 6921 are 1, 3, 9, 769, 2307, 6921. There are 6 integers that are factors of 6921. The greatest factor of 6921 is 6921.
3. What are the Factors of 6928?
Answer: Factors of 6928 are 1, 2, 4, 8, 16, 433, 866, 1732, 3464, 6928. There are 10 integers that are factors of 6928. The greatest factor of 6928 is 6928.
4. How to Find the GCF of 6921 and 6928?
Answer:
Greatest Common Factor of 6921 and 6928 = 1
Step 1: Find the prime factorization of 6921
6921 = 3 x 3 x 769
Step 2: Find the prime factorization of 6928
6928 = 2 x 2 x 2 x 2 x 433
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 6921 and 6928 is 1