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, 1693 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1686 and 1693 is 1.
GCF(1686,1693) = 1
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 1693
1693 | 1693 |
1 |
Prime factors of 1693 are 1693. Prime factorization of 1693 in exponential form is:
1693 = 16931
∴ So by taking common prime factors GCF of 1686 and 1693 is 1
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 1693
List of positive integer factors of 1693 that divides 1693 without a remainder.
1,1693
Greatest Common Factor
We found the factors and prime factorization of 1686 and 1693. The biggest common factor number is the GCF number.
So the greatest common factor 1686 and 1693 is 1.
Also check out the Least Common Multiple of 1686 and 1693
(i) The GCF of 1686 and 1693 is associative
GCF of 1686 and 1693 = GCF of 1693 and 1686
1. What is the GCF of 1686 and 1693?
Answer: GCF of 1686 and 1693 is 1.
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 1693?
Answer: Factors of 1693 are 1, 1693. There are 2 integers that are factors of 1693. The greatest factor of 1693 is 1693.
4. How to Find the GCF of 1686 and 1693?
Answer:
Greatest Common Factor of 1686 and 1693 = 1
Step 1: Find the prime factorization of 1686
1686 = 2 x 3 x 281
Step 2: Find the prime factorization of 1693
1693 = 1693
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 1686 and 1693 is 1