Greatest Common Factor of 8680 and 8686

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, 8686 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8680 and 8686 is 2.

GCF(8680,8686) = 2

GCF of 8680 and 8686

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

GCF of:
and

Greatest Common Factor of 8680 and 8686

GCF of 8680 and 8686 is 2

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 8686


2 8686
43 4343
101 101
1

Prime factors of 8686 are 2,43,101. Prime factorization of 8686 in exponential form is:

8686 = 21×431×1011

∴ So by taking common prime factors GCF of 8680 and 8686 is 2

Greatest Common Factor of 8680 and 8686 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 8686

List of positive integer factors of 8686 that divides 8686 without a remainder.

1,2,43,86,101,202,4343,8686

Greatest Common Factor

We found the factors and prime factorization of 8680 and 8686. The biggest common factor number is the GCF number.
So the greatest common factor 8680 and 8686 is 2.

Also check out the Least Common Multiple of 8680 and 8686

Properties of GCF 8680 and 8686

(i) The GCF of 8680 and 8686 is associative

GCF of 8680 and 8686 = GCF of 8686 and 8680

Related Greatest Common Factor of 8680

Related Greatest Common Factor of 8686

Frequently Asked Questions on GCF of 8680 and 8686

1. What is the GCF of 8680 and 8686?

Answer: GCF of 8680 and 8686 is 2.

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 8686?

Answer: Factors of 8686 are 1, 2, 43, 86, 101, 202, 4343, 8686. There are 8 integers that are factors of 8686. The greatest factor of 8686 is 8686.

4. How to Find the GCF of 8680 and 8686?

Answer:

Greatest Common Factor of 8680 and 8686 = 2

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 8686

8686 = 2 x 43 x 101

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8680 and 8686 is 2