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 6882, 6890 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6882 and 6890 is 2.
GCF(6882,6890) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6882
2 | 6882 |
3 | 3441 |
31 | 1147 |
37 | 37 |
1 |
Prime factors of 6882 are 2,3,31,37. Prime factorization of 6882 in exponential form is:
6882 = 21×31×311×371
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
∴ So by taking common prime factors GCF of 6882 and 6890 is 2
Factors of 6882
List of positive integer factors of 6882 that divides 6882 without a remainder.
1,2,3,6,31,37,62,74,93,111,186,222,1147,2294,3441,6882
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
Greatest Common Factor
We found the factors and prime factorization of 6882 and 6890. The biggest common factor number is the GCF number.
So the greatest common factor 6882 and 6890 is 2.
Also check out the Least Common Multiple of 6882 and 6890
(i) The GCF of 6882 and 6890 is associative
GCF of 6882 and 6890 = GCF of 6890 and 6882
1. What is the GCF of 6882 and 6890?
Answer: GCF of 6882 and 6890 is 2.
2. What are the Factors of 6882?
Answer: Factors of 6882 are 1, 2, 3, 6, 31, 37, 62, 74, 93, 111, 186, 222, 1147, 2294, 3441, 6882. There are 16 integers that are factors of 6882. The greatest factor of 6882 is 6882.
3. 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.
4. How to Find the GCF of 6882 and 6890?
Answer:
Greatest Common Factor of 6882 and 6890 = 2
Step 1: Find the prime factorization of 6882
6882 = 2 x 3 x 31 x 37
Step 2: Find the prime factorization of 6890
6890 = 2 x 5 x 13 x 53
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 6882 and 6890 is 2