Greatest Common Factor of 5000 and 5005

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 5000, 5005 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5000 and 5005 is 5.

GCF(5000,5005) = 5

GCF of 5000 and 5005

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

GCF of:
and

Greatest Common Factor of 5000 and 5005

GCF of 5000 and 5005 is 5

Prime Factorization of 5000


2 5000
2 2500
2 1250
5 625
5 125
5 25
5 5
1

Prime factors of 5000 are 2,5. Prime factorization of 5000 in exponential form is:

5000 = 23×54

Prime Factorization of 5005


5 5005
7 1001
11 143
13 13
1

Prime factors of 5005 are 5,7,11,13. Prime factorization of 5005 in exponential form is:

5005 = 51×71×111×131

∴ So by taking common prime factors GCF of 5000 and 5005 is 5

Greatest Common Factor of 5000 and 5005 by matching factors method

Factors of 5000

List of positive integer factors of 5000 that divides 5000 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,625,1000,1250,2500,5000

Factors of 5005

List of positive integer factors of 5005 that divides 5005 without a remainder.

1,5,7,11,13,35,55,65,77,91,143,385,455,715,1001,5005

Greatest Common Factor

We found the factors and prime factorization of 5000 and 5005. The biggest common factor number is the GCF number.
So the greatest common factor 5000 and 5005 is 5.

Also check out the Least Common Multiple of 5000 and 5005

Properties of GCF 5000 and 5005

(i) The GCF of 5000 and 5005 is associative

GCF of 5000 and 5005 = GCF of 5005 and 5000

Related Greatest Common Factor of 5000

Related Greatest Common Factor of 5005

Frequently Asked Questions on GCF of 5000 and 5005

1. What is the GCF of 5000 and 5005?

Answer: GCF of 5000 and 5005 is 5.

2. What are the Factors of 5000?

Answer: Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000. There are 20 integers that are factors of 5000. The greatest factor of 5000 is 5000.

3. What are the Factors of 5005?

Answer: Factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005. There are 16 integers that are factors of 5005. The greatest factor of 5005 is 5005.

4. How to Find the GCF of 5000 and 5005?

Answer:

Greatest Common Factor of 5000 and 5005 = 5

Step 1: Find the prime factorization of 5000

5000 = 2 x 2 x 2 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 5005

5005 = 5 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 = 5

Step 4: Therefore, the greatest common factor of 5000 and 5005 is 5