Greatest Common Factor of 8700 and 8705

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 8700, 8705 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8700 and 8705 is 5.

GCF(8700,8705) = 5

GCF of 8700 and 8705

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

GCF of:
and

Greatest Common Factor of 8700 and 8705

GCF of 8700 and 8705 is 5

Prime Factorization of 8700


2 8700
2 4350
3 2175
5 725
5 145
29 29
1

Prime factors of 8700 are 2,3,5,29. Prime factorization of 8700 in exponential form is:

8700 = 22×31×52×291

Prime Factorization of 8705


5 8705
1741 1741
1

Prime factors of 8705 are 5,1741. Prime factorization of 8705 in exponential form is:

8705 = 51×17411

∴ So by taking common prime factors GCF of 8700 and 8705 is 5

Greatest Common Factor of 8700 and 8705 by matching factors method

Factors of 8700

List of positive integer factors of 8700 that divides 8700 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,29,30,50,58,60,75,87,100,116,145,150,174,290,300,348,435,580,725,870,1450,1740,2175,2900,4350,8700

Factors of 8705

List of positive integer factors of 8705 that divides 8705 without a remainder.

1,5,1741,8705

Greatest Common Factor

We found the factors and prime factorization of 8700 and 8705. The biggest common factor number is the GCF number.
So the greatest common factor 8700 and 8705 is 5.

Also check out the Least Common Multiple of 8700 and 8705

Properties of GCF 8700 and 8705

(i) The GCF of 8700 and 8705 is associative

GCF of 8700 and 8705 = GCF of 8705 and 8700

Related Greatest Common Factor of 8700

Related Greatest Common Factor of 8705

Frequently Asked Questions on GCF of 8700 and 8705

1. What is the GCF of 8700 and 8705?

Answer: GCF of 8700 and 8705 is 5.

2. What are the Factors of 8700?

Answer: Factors of 8700 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 29, 30, 50, 58, 60, 75, 87, 100, 116, 145, 150, 174, 290, 300, 348, 435, 580, 725, 870, 1450, 1740, 2175, 2900, 4350, 8700. There are 36 integers that are factors of 8700. The greatest factor of 8700 is 8700.

3. What are the Factors of 8705?

Answer: Factors of 8705 are 1, 5, 1741, 8705. There are 4 integers that are factors of 8705. The greatest factor of 8705 is 8705.

4. How to Find the GCF of 8700 and 8705?

Answer:

Greatest Common Factor of 8700 and 8705 = 5

Step 1: Find the prime factorization of 8700

8700 = 2 x 2 x 3 x 5 x 5 x 29

Step 2: Find the prime factorization of 8705

8705 = 5 x 1741

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 8700 and 8705 is 5