Greatest Common Factor of 8680 and 8687

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 8680, 8687 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8680 and 8687 is 7.

GCF(8680,8687) = 7

GCF of 8680 and 8687

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

GCF of:
and

Greatest Common Factor of 8680 and 8687

GCF of 8680 and 8687 is 7

Prime Factorization of 8680


2 8680
2 4340
2 2170
5 1085
7 217
31 31
1

Prime factors of 8680 are 2,5,7,31. Prime factorization of 8680 in exponential form is:

8680 = 23×51×71×311

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

∴ So by taking common prime factors GCF of 8680 and 8687 is 7

Greatest Common Factor of 8680 and 8687 by matching factors method

Factors of 8680

List of positive integer factors of 8680 that divides 8680 without a remainder.

1,2,4,5,7,8,10,14,20,28,31,35,40,56,62,70,124,140,155,217,248,280,310,434,620,868,1085,1240,1736,2170,4340,8680

Factors of 8687

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

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

Greatest Common Factor

We found the factors and prime factorization of 8680 and 8687. The biggest common factor number is the GCF number.
So the greatest common factor 8680 and 8687 is 7.

Also check out the Least Common Multiple of 8680 and 8687

Properties of GCF 8680 and 8687

(i) The GCF of 8680 and 8687 is associative

GCF of 8680 and 8687 = GCF of 8687 and 8680

Related Greatest Common Factor of 8680

Related Greatest Common Factor of 8687

Frequently Asked Questions on GCF of 8680 and 8687

1. What is the GCF of 8680 and 8687?

Answer: GCF of 8680 and 8687 is 7.

2. What are the Factors of 8680?

Answer: Factors of 8680 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 56, 62, 70, 124, 140, 155, 217, 248, 280, 310, 434, 620, 868, 1085, 1240, 1736, 2170, 4340, 8680. There are 32 integers that are factors of 8680. The greatest factor of 8680 is 8680.

3. 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.

4. How to Find the GCF of 8680 and 8687?

Answer:

Greatest Common Factor of 8680 and 8687 = 7

Step 1: Find the prime factorization of 8680

8680 = 2 x 2 x 2 x 5 x 7 x 31

Step 2: Find the prime factorization of 8687

8687 = 7 x 17 x 73

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

GCF = 7

Step 4: Therefore, the greatest common factor of 8680 and 8687 is 7