Greatest Common Factor of 8000 and 8008

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 8000, 8008 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8000 and 8008 is 8.

GCF(8000,8008) = 8

GCF of 8000 and 8008

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

GCF of:
and

Greatest Common Factor of 8000 and 8008

GCF of 8000 and 8008 is 8

Prime Factorization of 8000


2 8000
2 4000
2 2000
2 1000
2 500
2 250
5 125
5 25
5 5
1

Prime factors of 8000 are 2,5. Prime factorization of 8000 in exponential form is:

8000 = 26×53

Prime Factorization of 8008


2 8008
2 4004
2 2002
7 1001
11 143
13 13
1

Prime factors of 8008 are 2,7,11,13. Prime factorization of 8008 in exponential form is:

8008 = 23×71×111×131

∴ So by taking common prime factors GCF of 8000 and 8008 is 8

Greatest Common Factor of 8000 and 8008 by matching factors method

Factors of 8000

List of positive integer factors of 8000 that divides 8000 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,125,160,200,250,320,400,500,800,1000,1600,2000,4000,8000

Factors of 8008

List of positive integer factors of 8008 that divides 8008 without a remainder.

1,2,4,7,8,11,13,14,22,26,28,44,52,56,77,88,91,104,143,154,182,286,308,364,572,616,728,1001,1144,2002,4004,8008

Greatest Common Factor

We found the factors and prime factorization of 8000 and 8008. The biggest common factor number is the GCF number.
So the greatest common factor 8000 and 8008 is 8.

Also check out the Least Common Multiple of 8000 and 8008

Properties of GCF 8000 and 8008

(i) The GCF of 8000 and 8008 is associative

GCF of 8000 and 8008 = GCF of 8008 and 8000

Related Greatest Common Factor of 8000

Related Greatest Common Factor of 8008

Frequently Asked Questions on GCF of 8000 and 8008

1. What is the GCF of 8000 and 8008?

Answer: GCF of 8000 and 8008 is 8.

2. What are the Factors of 8000?

Answer: Factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000. There are 28 integers that are factors of 8000. The greatest factor of 8000 is 8000.

3. What are the Factors of 8008?

Answer: Factors of 8008 are 1, 2, 4, 7, 8, 11, 13, 14, 22, 26, 28, 44, 52, 56, 77, 88, 91, 104, 143, 154, 182, 286, 308, 364, 572, 616, 728, 1001, 1144, 2002, 4004, 8008. There are 32 integers that are factors of 8008. The greatest factor of 8008 is 8008.

4. How to Find the GCF of 8000 and 8008?

Answer:

Greatest Common Factor of 8000 and 8008 = 8

Step 1: Find the prime factorization of 8000

8000 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5

Step 2: Find the prime factorization of 8008

8008 = 2 x 2 x 2 x 7 x 11 x 13

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8000 and 8008 is 8