Greatest Common Factor of 8680 and 8685

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, 8685 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8680 and 8685 is 5.

GCF(8680,8685) = 5

GCF of 8680 and 8685

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

GCF of:
and

Greatest Common Factor of 8680 and 8685

GCF of 8680 and 8685 is 5

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 8685


3 8685
3 2895
5 965
193 193
1

Prime factors of 8685 are 3,5,193. Prime factorization of 8685 in exponential form is:

8685 = 32×51×1931

∴ So by taking common prime factors GCF of 8680 and 8685 is 5

Greatest Common Factor of 8680 and 8685 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 8685

List of positive integer factors of 8685 that divides 8685 without a remainder.

1,3,5,9,15,45,193,579,965,1737,2895,8685

Greatest Common Factor

We found the factors and prime factorization of 8680 and 8685. The biggest common factor number is the GCF number.
So the greatest common factor 8680 and 8685 is 5.

Also check out the Least Common Multiple of 8680 and 8685

Properties of GCF 8680 and 8685

(i) The GCF of 8680 and 8685 is associative

GCF of 8680 and 8685 = GCF of 8685 and 8680

Related Greatest Common Factor of 8680

Related Greatest Common Factor of 8685

Frequently Asked Questions on GCF of 8680 and 8685

1. What is the GCF of 8680 and 8685?

Answer: GCF of 8680 and 8685 is 5.

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 8685?

Answer: Factors of 8685 are 1, 3, 5, 9, 15, 45, 193, 579, 965, 1737, 2895, 8685. There are 12 integers that are factors of 8685. The greatest factor of 8685 is 8685.

4. How to Find the GCF of 8680 and 8685?

Answer:

Greatest Common Factor of 8680 and 8685 = 5

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 8685

8685 = 3 x 3 x 5 x 193

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

GCF = 5

Step 4: Therefore, the greatest common factor of 8680 and 8685 is 5