Greatest Common Factor of 687 and 690

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, 690 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 687 and 690 is 3.

GCF(687,690) = 3

GCF of 687 and 690

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

GCF of:
and

Greatest Common Factor of 687 and 690

GCF of 687 and 690 is 3

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 690


2 690
3 345
5 115
23 23
1

Prime factors of 690 are 2,3,5,23. Prime factorization of 690 in exponential form is:

690 = 21×31×51×231

∴ So by taking common prime factors GCF of 687 and 690 is 3

Greatest Common Factor of 687 and 690 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 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors and prime factorization of 687 and 690. The biggest common factor number is the GCF number.
So the greatest common factor 687 and 690 is 3.

Also check out the Least Common Multiple of 687 and 690

Properties of GCF 687 and 690

(i) The GCF of 687 and 690 is associative

GCF of 687 and 690 = GCF of 690 and 687

Related Greatest Common Factor of 687

Related Greatest Common Factor of 690

Frequently Asked Questions on GCF of 687 and 690

1. What is the GCF of 687 and 690?

Answer: GCF of 687 and 690 is 3.

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 690?

Answer: Factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690. There are 16 integers that are factors of 690. The greatest factor of 690 is 690.

4. How to Find the GCF of 687 and 690?

Answer:

Greatest Common Factor of 687 and 690 = 3

Step 1: Find the prime factorization of 687

687 = 3 x 229

Step 2: Find the prime factorization of 690

690 = 2 x 3 x 5 x 23

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

GCF = 3

Step 4: Therefore, the greatest common factor of 687 and 690 is 3