Greatest Common Factor of 687 and 691

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 687, 691 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 687 and 691 is 1.

GCF(687,691) = 1

GCF of 687 and 691

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

GCF of:
and

Greatest Common Factor of 687 and 691

GCF of 687 and 691 is 1

Prime Factorization of 687


3 687
229 229
1

Prime factors of 687 are 3,229. Prime factorization of 687 in exponential form is:

687 = 31×2291

Prime Factorization of 691


691 691
1

Prime factors of 691 are 691. Prime factorization of 691 in exponential form is:

691 = 6911

∴ So by taking common prime factors GCF of 687 and 691 is 1

Greatest Common Factor of 687 and 691 by matching factors method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Greatest Common Factor

We found the factors and prime factorization of 687 and 691. The biggest common factor number is the GCF number.
So the greatest common factor 687 and 691 is 1.

Also check out the Least Common Multiple of 687 and 691

Properties of GCF 687 and 691

(i) The GCF of 687 and 691 is associative

GCF of 687 and 691 = GCF of 691 and 687

Related Greatest Common Factor of 687

Related Greatest Common Factor of 691

Frequently Asked Questions on GCF of 687 and 691

1. What is the GCF of 687 and 691?

Answer: GCF of 687 and 691 is 1.

2. What are the Factors of 687?

Answer: Factors of 687 are 1, 3, 229, 687. There are 4 integers that are factors of 687. The greatest factor of 687 is 687.

3. What are the Factors of 691?

Answer: Factors of 691 are 1, 691. There are 2 integers that are factors of 691. The greatest factor of 691 is 691.

4. How to Find the GCF of 687 and 691?

Answer:

Greatest Common Factor of 687 and 691 = 1

Step 1: Find the prime factorization of 687

687 = 3 x 229

Step 2: Find the prime factorization of 691

691 = 691

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 687 and 691 is 1