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 1686, 1690 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1686 and 1690 is 2.
GCF(1686,1690) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1686
2 | 1686 |
3 | 843 |
281 | 281 |
1 |
Prime factors of 1686 are 2,3,281. Prime factorization of 1686 in exponential form is:
1686 = 21×31×2811
Prime Factorization of 1690
2 | 1690 |
5 | 845 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 1690 are 2,5,13. Prime factorization of 1690 in exponential form is:
1690 = 21×51×132
∴ So by taking common prime factors GCF of 1686 and 1690 is 2
Factors of 1686
List of positive integer factors of 1686 that divides 1686 without a remainder.
1,2,3,6,281,562,843,1686
Factors of 1690
List of positive integer factors of 1690 that divides 1690 without a remainder.
1,2,5,10,13,26,65,130,169,338,845,1690
Greatest Common Factor
We found the factors and prime factorization of 1686 and 1690. The biggest common factor number is the GCF number.
So the greatest common factor 1686 and 1690 is 2.
Also check out the Least Common Multiple of 1686 and 1690
(i) The GCF of 1686 and 1690 is associative
GCF of 1686 and 1690 = GCF of 1690 and 1686
1. What is the GCF of 1686 and 1690?
Answer: GCF of 1686 and 1690 is 2.
2. What are the Factors of 1686?
Answer: Factors of 1686 are 1, 2, 3, 6, 281, 562, 843, 1686. There are 8 integers that are factors of 1686. The greatest factor of 1686 is 1686.
3. What are the Factors of 1690?
Answer: Factors of 1690 are 1, 2, 5, 10, 13, 26, 65, 130, 169, 338, 845, 1690. There are 12 integers that are factors of 1690. The greatest factor of 1690 is 1690.
4. How to Find the GCF of 1686 and 1690?
Answer:
Greatest Common Factor of 1686 and 1690 = 2
Step 1: Find the prime factorization of 1686
1686 = 2 x 3 x 281
Step 2: Find the prime factorization of 1690
1690 = 2 x 5 x 13 x 13
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 1686 and 1690 is 2