Greatest Common Factor of 8700 and 8704

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, 8704 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8700 and 8704 is 4.

GCF(8700,8704) = 4

GCF of 8700 and 8704

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

GCF of:
and

Greatest Common Factor of 8700 and 8704

GCF of 8700 and 8704 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 8704


2 8704
2 4352
2 2176
2 1088
2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 8704 are 2,17. Prime factorization of 8704 in exponential form is:

8704 = 29×171

∴ So by taking common prime factors GCF of 8700 and 8704 is 4

Greatest Common Factor of 8700 and 8704 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 8704

List of positive integer factors of 8704 that divides 8704 without a remainder.

1,2,4,8,16,17,32,34,64,68,128,136,256,272,512,544,1088,2176,4352,8704

Greatest Common Factor

We found the factors and prime factorization of 8700 and 8704. The biggest common factor number is the GCF number.
So the greatest common factor 8700 and 8704 is 4.

Also check out the Least Common Multiple of 8700 and 8704

Properties of GCF 8700 and 8704

(i) The GCF of 8700 and 8704 is associative

GCF of 8700 and 8704 = GCF of 8704 and 8700

Related Greatest Common Factor of 8700

Related Greatest Common Factor of 8704

Frequently Asked Questions on GCF of 8700 and 8704

1. What is the GCF of 8700 and 8704?

Answer: GCF of 8700 and 8704 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 8704?

Answer: Factors of 8704 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704. There are 20 integers that are factors of 8704. The greatest factor of 8704 is 8704.

4. How to Find the GCF of 8700 and 8704?

Answer:

Greatest Common Factor of 8700 and 8704 = 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 8704

8704 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17

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 8704 is 4