Greatest Common Factor of 1687 and 1694

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 1687, 1694 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1687 and 1694 is 7.

GCF(1687,1694) = 7

GCF of 1687 and 1694

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

GCF of:
and

Greatest Common Factor of 1687 and 1694

GCF of 1687 and 1694 is 7

Prime Factorization of 1687


7 1687
241 241
1

Prime factors of 1687 are 7,241. Prime factorization of 1687 in exponential form is:

1687 = 71×2411

Prime Factorization of 1694


2 1694
7 847
11 121
11 11
1

Prime factors of 1694 are 2,7,11. Prime factorization of 1694 in exponential form is:

1694 = 21×71×112

∴ So by taking common prime factors GCF of 1687 and 1694 is 7

Greatest Common Factor of 1687 and 1694 by matching factors method

Factors of 1687

List of positive integer factors of 1687 that divides 1687 without a remainder.

1,7,241,1687

Factors of 1694

List of positive integer factors of 1694 that divides 1694 without a remainder.

1,2,7,11,14,22,77,121,154,242,847,1694

Greatest Common Factor

We found the factors and prime factorization of 1687 and 1694. The biggest common factor number is the GCF number.
So the greatest common factor 1687 and 1694 is 7.

Also check out the Least Common Multiple of 1687 and 1694

Properties of GCF 1687 and 1694

(i) The GCF of 1687 and 1694 is associative

GCF of 1687 and 1694 = GCF of 1694 and 1687

Related Greatest Common Factor of 1687

Related Greatest Common Factor of 1694

Frequently Asked Questions on GCF of 1687 and 1694

1. What is the GCF of 1687 and 1694?

Answer: GCF of 1687 and 1694 is 7.

2. What are the Factors of 1687?

Answer: Factors of 1687 are 1, 7, 241, 1687. There are 4 integers that are factors of 1687. The greatest factor of 1687 is 1687.

3. What are the Factors of 1694?

Answer: Factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694. There are 12 integers that are factors of 1694. The greatest factor of 1694 is 1694.

4. How to Find the GCF of 1687 and 1694?

Answer:

Greatest Common Factor of 1687 and 1694 = 7

Step 1: Find the prime factorization of 1687

1687 = 7 x 241

Step 2: Find the prime factorization of 1694

1694 = 2 x 7 x 11 x 11

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 1687 and 1694 is 7