Greatest Common Factor of 5000 and 5004

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, 5004 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5000 and 5004 is 4.

GCF(5000,5004) = 4

GCF of 5000 and 5004

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

GCF of:
and

Greatest Common Factor of 5000 and 5004

GCF of 5000 and 5004 is 4

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 5004


2 5004
2 2502
3 1251
3 417
139 139
1

Prime factors of 5004 are 2,3,139. Prime factorization of 5004 in exponential form is:

5004 = 22×32×1391

∴ So by taking common prime factors GCF of 5000 and 5004 is 4

Greatest Common Factor of 5000 and 5004 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 5004

List of positive integer factors of 5004 that divides 5004 without a remainder.

1,2,3,4,6,9,12,18,36,139,278,417,556,834,1251,1668,2502,5004

Greatest Common Factor

We found the factors and prime factorization of 5000 and 5004. The biggest common factor number is the GCF number.
So the greatest common factor 5000 and 5004 is 4.

Also check out the Least Common Multiple of 5000 and 5004

Properties of GCF 5000 and 5004

(i) The GCF of 5000 and 5004 is associative

GCF of 5000 and 5004 = GCF of 5004 and 5000

Related Greatest Common Factor of 5000

Related Greatest Common Factor of 5004

Frequently Asked Questions on GCF of 5000 and 5004

1. What is the GCF of 5000 and 5004?

Answer: GCF of 5000 and 5004 is 4.

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 5004?

Answer: Factors of 5004 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004. There are 18 integers that are factors of 5004. The greatest factor of 5004 is 5004.

4. How to Find the GCF of 5000 and 5004?

Answer:

Greatest Common Factor of 5000 and 5004 = 4

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 5004

5004 = 2 x 2 x 3 x 3 x 139

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 5000 and 5004 is 4