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 6668, 6669 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6668 and 6669 is 1.
GCF(6668,6669) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 6669
3 | 6669 |
3 | 2223 |
3 | 741 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 6669 are 3,13,19. Prime factorization of 6669 in exponential form is:
6669 = 33×131×191
∴ So by taking common prime factors GCF of 6668 and 6669 is 1
Factors of 6668
List of positive integer factors of 6668 that divides 6668 without a remainder.
1,2,4,1667,3334,6668
Factors of 6669
List of positive integer factors of 6669 that divides 6669 without a remainder.
1,3,9,13,19,27,39,57,117,171,247,351,513,741,2223,6669
Greatest Common Factor
We found the factors and prime factorization of 6668 and 6669. The biggest common factor number is the GCF number.
So the greatest common factor 6668 and 6669 is 1.
Also check out the Least Common Multiple of 6668 and 6669
(i) The GCF of 6668 and 6669 is associative
GCF of 6668 and 6669 = GCF of 6669 and 6668
1. What is the GCF of 6668 and 6669?
Answer: GCF of 6668 and 6669 is 1.
2. 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.
3. What are the Factors of 6669?
Answer: Factors of 6669 are 1, 3, 9, 13, 19, 27, 39, 57, 117, 171, 247, 351, 513, 741, 2223, 6669. There are 16 integers that are factors of 6669. The greatest factor of 6669 is 6669.
4. How to Find the GCF of 6668 and 6669?
Answer:
Greatest Common Factor of 6668 and 6669 = 1
Step 1: Find the prime factorization of 6668
6668 = 2 x 2 x 1667
Step 2: Find the prime factorization of 6669
6669 = 3 x 3 x 3 x 13 x 19
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 6668 and 6669 is 1