Greatest Common Factor of 8687 and 8691

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, 8691 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8687 and 8691 is 1.

GCF(8687,8691) = 1

GCF of 8687 and 8691

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

GCF of:
and

Greatest Common Factor of 8687 and 8691

GCF of 8687 and 8691 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 8691


3 8691
2897 2897
1

Prime factors of 8691 are 3,2897. Prime factorization of 8691 in exponential form is:

8691 = 31×28971

∴ So by taking common prime factors GCF of 8687 and 8691 is 1

Greatest Common Factor of 8687 and 8691 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 8691

List of positive integer factors of 8691 that divides 8691 without a remainder.

1,3,2897,8691

Greatest Common Factor

We found the factors and prime factorization of 8687 and 8691. The biggest common factor number is the GCF number.
So the greatest common factor 8687 and 8691 is 1.

Also check out the Least Common Multiple of 8687 and 8691

Properties of GCF 8687 and 8691

(i) The GCF of 8687 and 8691 is associative

GCF of 8687 and 8691 = GCF of 8691 and 8687

Frequently Asked Questions on GCF of 8687 and 8691

1. What is the GCF of 8687 and 8691?

Answer: GCF of 8687 and 8691 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 8691?

Answer: Factors of 8691 are 1, 3, 2897, 8691. There are 4 integers that are factors of 8691. The greatest factor of 8691 is 8691.

4. How to Find the GCF of 8687 and 8691?

Answer:

Greatest Common Factor of 8687 and 8691 = 1

Step 1: Find the prime factorization of 8687

8687 = 7 x 17 x 73

Step 2: Find the prime factorization of 8691

8691 = 3 x 2897

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 8691 is 1