Greatest Common Factor of 1687 and 1691

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, 1691 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1687 and 1691 is 1.

GCF(1687,1691) = 1

GCF of 1687 and 1691

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

GCF of:
and

Greatest Common Factor of 1687 and 1691

GCF of 1687 and 1691 is 1

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 1691


19 1691
89 89
1

Prime factors of 1691 are 19,89. Prime factorization of 1691 in exponential form is:

1691 = 191×891

∴ So by taking common prime factors GCF of 1687 and 1691 is 1

Greatest Common Factor of 1687 and 1691 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 1691

List of positive integer factors of 1691 that divides 1691 without a remainder.

1,19,89,1691

Greatest Common Factor

We found the factors and prime factorization of 1687 and 1691. The biggest common factor number is the GCF number.
So the greatest common factor 1687 and 1691 is 1.

Also check out the Least Common Multiple of 1687 and 1691

Properties of GCF 1687 and 1691

(i) The GCF of 1687 and 1691 is associative

GCF of 1687 and 1691 = GCF of 1691 and 1687

Related Greatest Common Factor of 1687

Related Greatest Common Factor of 1691

Frequently Asked Questions on GCF of 1687 and 1691

1. What is the GCF of 1687 and 1691?

Answer: GCF of 1687 and 1691 is 1.

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 1691?

Answer: Factors of 1691 are 1, 19, 89, 1691. There are 4 integers that are factors of 1691. The greatest factor of 1691 is 1691.

4. How to Find the GCF of 1687 and 1691?

Answer:

Greatest Common Factor of 1687 and 1691 = 1

Step 1: Find the prime factorization of 1687

1687 = 7 x 241

Step 2: Find the prime factorization of 1691

1691 = 19 x 89

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 1687 and 1691 is 1