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 6666, 6668 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6666 and 6668 is 2.
GCF(6666,6668) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6666
2 | 6666 |
3 | 3333 |
11 | 1111 |
101 | 101 |
1 |
Prime factors of 6666 are 2,3,11,101. Prime factorization of 6666 in exponential form is:
6666 = 21×31×111×1011
Prime Factorization of 6668
2 | 6668 |
2 | 3334 |
1667 | 1667 |
1 |
Prime factors of 6668 are 2,1667. Prime factorization of 6668 in exponential form is:
6668 = 22×16671
∴ So by taking common prime factors GCF of 6666 and 6668 is 2
Factors of 6666
List of positive integer factors of 6666 that divides 6666 without a remainder.
1,2,3,6,11,22,33,66,101,202,303,606,1111,2222,3333,6666
Factors of 6668
List of positive integer factors of 6668 that divides 6668 without a remainder.
1,2,4,1667,3334,6668
Greatest Common Factor
We found the factors and prime factorization of 6666 and 6668. The biggest common factor number is the GCF number.
So the greatest common factor 6666 and 6668 is 2.
Also check out the Least Common Multiple of 6666 and 6668
(i) The GCF of 6666 and 6668 is associative
GCF of 6666 and 6668 = GCF of 6668 and 6666
1. What is the GCF of 6666 and 6668?
Answer: GCF of 6666 and 6668 is 2.
2. What are the Factors of 6666?
Answer: Factors of 6666 are 1, 2, 3, 6, 11, 22, 33, 66, 101, 202, 303, 606, 1111, 2222, 3333, 6666. There are 16 integers that are factors of 6666. The greatest factor of 6666 is 6666.
3. What are the Factors of 6668?
Answer: Factors of 6668 are 1, 2, 4, 1667, 3334, 6668. There are 6 integers that are factors of 6668. The greatest factor of 6668 is 6668.
4. How to Find the GCF of 6666 and 6668?
Answer:
Greatest Common Factor of 6666 and 6668 = 2
Step 1: Find the prime factorization of 6666
6666 = 2 x 3 x 11 x 101
Step 2: Find the prime factorization of 6668
6668 = 2 x 2 x 1667
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 6666 and 6668 is 2