Greatest Common Factor of 8680 and 8684

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, 8684 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8680 and 8684 is 4.

GCF(8680,8684) = 4

GCF of 8680 and 8684

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

GCF of:
and

Greatest Common Factor of 8680 and 8684

GCF of 8680 and 8684 is 4

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 8684


2 8684
2 4342
13 2171
167 167
1

Prime factors of 8684 are 2,13,167. Prime factorization of 8684 in exponential form is:

8684 = 22×131×1671

∴ So by taking common prime factors GCF of 8680 and 8684 is 4

Greatest Common Factor of 8680 and 8684 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 8684

List of positive integer factors of 8684 that divides 8684 without a remainder.

1,2,4,13,26,52,167,334,668,2171,4342,8684

Greatest Common Factor

We found the factors and prime factorization of 8680 and 8684. The biggest common factor number is the GCF number.
So the greatest common factor 8680 and 8684 is 4.

Also check out the Least Common Multiple of 8680 and 8684

Properties of GCF 8680 and 8684

(i) The GCF of 8680 and 8684 is associative

GCF of 8680 and 8684 = GCF of 8684 and 8680

Related Greatest Common Factor of 8680

Related Greatest Common Factor of 8684

Frequently Asked Questions on GCF of 8680 and 8684

1. What is the GCF of 8680 and 8684?

Answer: GCF of 8680 and 8684 is 4.

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 8684?

Answer: Factors of 8684 are 1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684. There are 12 integers that are factors of 8684. The greatest factor of 8684 is 8684.

4. How to Find the GCF of 8680 and 8684?

Answer:

Greatest Common Factor of 8680 and 8684 = 4

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 8684

8684 = 2 x 2 x 13 x 167

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8680 and 8684 is 4