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 6890, 6894 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6890 and 6894 is 2.
GCF(6890,6894) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6890
2 | 6890 |
5 | 3445 |
13 | 689 |
53 | 53 |
1 |
Prime factors of 6890 are 2,5,13,53. Prime factorization of 6890 in exponential form is:
6890 = 21×51×131×531
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
∴ So by taking common prime factors GCF of 6890 and 6894 is 2
Factors of 6890
List of positive integer factors of 6890 that divides 6890 without a remainder.
1,2,5,10,13,26,53,65,106,130,265,530,689,1378,3445,6890
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
Greatest Common Factor
We found the factors and prime factorization of 6890 and 6894. The biggest common factor number is the GCF number.
So the greatest common factor 6890 and 6894 is 2.
Also check out the Least Common Multiple of 6890 and 6894
(i) The GCF of 6890 and 6894 is associative
GCF of 6890 and 6894 = GCF of 6894 and 6890
1. What is the GCF of 6890 and 6894?
Answer: GCF of 6890 and 6894 is 2.
2. What are the Factors of 6890?
Answer: Factors of 6890 are 1, 2, 5, 10, 13, 26, 53, 65, 106, 130, 265, 530, 689, 1378, 3445, 6890. There are 16 integers that are factors of 6890. The greatest factor of 6890 is 6890.
3. 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.
4. How to Find the GCF of 6890 and 6894?
Answer:
Greatest Common Factor of 6890 and 6894 = 2
Step 1: Find the prime factorization of 6890
6890 = 2 x 5 x 13 x 53
Step 2: Find the prime factorization of 6894
6894 = 2 x 3 x 3 x 383
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 6890 and 6894 is 2