Greatest Common Factor of 1678 and 1686

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 1678, 1686 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1678 and 1686 is 2.

GCF(1678,1686) = 2

GCF of 1678 and 1686

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

GCF of:
and

Greatest Common Factor of 1678 and 1686

GCF of 1678 and 1686 is 2

Prime Factorization of 1678


2 1678
839 839
1

Prime factors of 1678 are 2,839. Prime factorization of 1678 in exponential form is:

1678 = 21×8391

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

∴ So by taking common prime factors GCF of 1678 and 1686 is 2

Greatest Common Factor of 1678 and 1686 by matching factors method

Factors of 1678

List of positive integer factors of 1678 that divides 1678 without a remainder.

1,2,839,1678

Factors of 1686

List of positive integer factors of 1686 that divides 1686 without a remainder.

1,2,3,6,281,562,843,1686

Greatest Common Factor

We found the factors and prime factorization of 1678 and 1686. The biggest common factor number is the GCF number.
So the greatest common factor 1678 and 1686 is 2.

Also check out the Least Common Multiple of 1678 and 1686

Properties of GCF 1678 and 1686

(i) The GCF of 1678 and 1686 is associative

GCF of 1678 and 1686 = GCF of 1686 and 1678

Related Greatest Common Factor of 1678

Related Greatest Common Factor of 1686

Frequently Asked Questions on GCF of 1678 and 1686

1. What is the GCF of 1678 and 1686?

Answer: GCF of 1678 and 1686 is 2.

2. What are the Factors of 1678?

Answer: Factors of 1678 are 1, 2, 839, 1678. There are 4 integers that are factors of 1678. The greatest factor of 1678 is 1678.

3. 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.

4. How to Find the GCF of 1678 and 1686?

Answer:

Greatest Common Factor of 1678 and 1686 = 2

Step 1: Find the prime factorization of 1678

1678 = 2 x 839

Step 2: Find the prime factorization of 1686

1686 = 2 x 3 x 281

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 1678 and 1686 is 2