Greatest Common Factor of 8687 and 8690

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 8687, 8690 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8687 and 8690 is 1.

GCF(8687,8690) = 1

GCF of 8687 and 8690

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

GCF of:
and

Greatest Common Factor of 8687 and 8690

GCF of 8687 and 8690 is 1

Prime Factorization of 8687


7 8687
17 1241
73 73
1

Prime factors of 8687 are 7,17,73. Prime factorization of 8687 in exponential form is:

8687 = 71×171×731

Prime Factorization of 8690


2 8690
5 4345
11 869
79 79
1

Prime factors of 8690 are 2,5,11,79. Prime factorization of 8690 in exponential form is:

8690 = 21×51×111×791

∴ So by taking common prime factors GCF of 8687 and 8690 is 1

Greatest Common Factor of 8687 and 8690 by matching factors method

Factors of 8687

List of positive integer factors of 8687 that divides 8687 without a remainder.

1,7,17,73,119,511,1241,8687

Factors of 8690

List of positive integer factors of 8690 that divides 8690 without a remainder.

1,2,5,10,11,22,55,79,110,158,395,790,869,1738,4345,8690

Greatest Common Factor

We found the factors and prime factorization of 8687 and 8690. The biggest common factor number is the GCF number.
So the greatest common factor 8687 and 8690 is 1.

Also check out the Least Common Multiple of 8687 and 8690

Properties of GCF 8687 and 8690

(i) The GCF of 8687 and 8690 is associative

GCF of 8687 and 8690 = GCF of 8690 and 8687

Frequently Asked Questions on GCF of 8687 and 8690

1. What is the GCF of 8687 and 8690?

Answer: GCF of 8687 and 8690 is 1.

2. What are the Factors of 8687?

Answer: Factors of 8687 are 1, 7, 17, 73, 119, 511, 1241, 8687. There are 8 integers that are factors of 8687. The greatest factor of 8687 is 8687.

3. What are the Factors of 8690?

Answer: Factors of 8690 are 1, 2, 5, 10, 11, 22, 55, 79, 110, 158, 395, 790, 869, 1738, 4345, 8690. There are 16 integers that are factors of 8690. The greatest factor of 8690 is 8690.

4. How to Find the GCF of 8687 and 8690?

Answer:

Greatest Common Factor of 8687 and 8690 = 1

Step 1: Find the prime factorization of 8687

8687 = 7 x 17 x 73

Step 2: Find the prime factorization of 8690

8690 = 2 x 5 x 11 x 79

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 8687 and 8690 is 1