Greatest Common Factor of 1686 and 1693

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

GCF of 1686 and 1693

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1686 and 1693

GCF of 1686 and 1693 is 1

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

Greatest Common Factor of 1686 and 1693 by matching factors method

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

Properties of GCF 1686 and 1693

(i) The GCF of 1686 and 1693 is associative

GCF of 1686 and 1693 = GCF of 1693 and 1686

Related Greatest Common Factor of 1686

Related Greatest Common Factor of 1693

Frequently Asked Questions on GCF of 1686 and 1693

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