Greatest Common Factor of 8700 and 8708

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, 8708 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8700 and 8708 is 4.

GCF(8700,8708) = 4

GCF of 8700 and 8708

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

GCF of:
and

Greatest Common Factor of 8700 and 8708

GCF of 8700 and 8708 is 4

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 8708


2 8708
2 4354
7 2177
311 311
1

Prime factors of 8708 are 2,7,311. Prime factorization of 8708 in exponential form is:

8708 = 22×71×3111

∴ So by taking common prime factors GCF of 8700 and 8708 is 4

Greatest Common Factor of 8700 and 8708 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 8708

List of positive integer factors of 8708 that divides 8708 without a remainder.

1,2,4,7,14,28,311,622,1244,2177,4354,8708

Greatest Common Factor

We found the factors and prime factorization of 8700 and 8708. The biggest common factor number is the GCF number.
So the greatest common factor 8700 and 8708 is 4.

Also check out the Least Common Multiple of 8700 and 8708

Properties of GCF 8700 and 8708

(i) The GCF of 8700 and 8708 is associative

GCF of 8700 and 8708 = GCF of 8708 and 8700

Related Greatest Common Factor of 8700

Related Greatest Common Factor of 8708

Frequently Asked Questions on GCF of 8700 and 8708

1. What is the GCF of 8700 and 8708?

Answer: GCF of 8700 and 8708 is 4.

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 8708?

Answer: Factors of 8708 are 1, 2, 4, 7, 14, 28, 311, 622, 1244, 2177, 4354, 8708. There are 12 integers that are factors of 8708. The greatest factor of 8708 is 8708.

4. How to Find the GCF of 8700 and 8708?

Answer:

Greatest Common Factor of 8700 and 8708 = 4

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 8708

8708 = 2 x 2 x 7 x 311

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 8700 and 8708 is 4