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 6894, 6896 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6894 and 6896 is 2.
GCF(6894,6896) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6894
2 | 6894 |
3 | 3447 |
3 | 1149 |
383 | 383 |
1 |
Prime factors of 6894 are 2,3,383. Prime factorization of 6894 in exponential form is:
6894 = 21×32×3831
Prime Factorization of 6896
2 | 6896 |
2 | 3448 |
2 | 1724 |
2 | 862 |
431 | 431 |
1 |
Prime factors of 6896 are 2,431. Prime factorization of 6896 in exponential form is:
6896 = 24×4311
∴ So by taking common prime factors GCF of 6894 and 6896 is 2
Factors of 6894
List of positive integer factors of 6894 that divides 6894 without a remainder.
1,2,3,6,9,18,383,766,1149,2298,3447,6894
Factors of 6896
List of positive integer factors of 6896 that divides 6896 without a remainder.
1,2,4,8,16,431,862,1724,3448,6896
Greatest Common Factor
We found the factors and prime factorization of 6894 and 6896. The biggest common factor number is the GCF number.
So the greatest common factor 6894 and 6896 is 2.
Also check out the Least Common Multiple of 6894 and 6896
(i) The GCF of 6894 and 6896 is associative
GCF of 6894 and 6896 = GCF of 6896 and 6894
1. What is the GCF of 6894 and 6896?
Answer: GCF of 6894 and 6896 is 2.
2. What are the Factors of 6894?
Answer: Factors of 6894 are 1, 2, 3, 6, 9, 18, 383, 766, 1149, 2298, 3447, 6894. There are 12 integers that are factors of 6894. The greatest factor of 6894 is 6894.
3. What are the Factors of 6896?
Answer: Factors of 6896 are 1, 2, 4, 8, 16, 431, 862, 1724, 3448, 6896. There are 10 integers that are factors of 6896. The greatest factor of 6896 is 6896.
4. How to Find the GCF of 6894 and 6896?
Answer:
Greatest Common Factor of 6894 and 6896 = 2
Step 1: Find the prime factorization of 6894
6894 = 2 x 3 x 3 x 383
Step 2: Find the prime factorization of 6896
6896 = 2 x 2 x 2 x 2 x 431
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 6894 and 6896 is 2