Greatest Common Factor of 5005 and 5010

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 5005, 5010 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5005 and 5010 is 5.

GCF(5005,5010) = 5

GCF of 5005 and 5010

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

GCF of:
and

Greatest Common Factor of 5005 and 5010

GCF of 5005 and 5010 is 5

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

Prime Factorization of 5010


2 5010
3 2505
5 835
167 167
1

Prime factors of 5010 are 2,3,5,167. Prime factorization of 5010 in exponential form is:

5010 = 21×31×51×1671

∴ So by taking common prime factors GCF of 5005 and 5010 is 5

Greatest Common Factor of 5005 and 5010 by matching factors method

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

Factors of 5010

List of positive integer factors of 5010 that divides 5010 without a remainder.

1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010

Greatest Common Factor

We found the factors and prime factorization of 5005 and 5010. The biggest common factor number is the GCF number.
So the greatest common factor 5005 and 5010 is 5.

Also check out the Least Common Multiple of 5005 and 5010

Properties of GCF 5005 and 5010

(i) The GCF of 5005 and 5010 is associative

GCF of 5005 and 5010 = GCF of 5010 and 5005

Related Greatest Common Factor of 5005

Related Greatest Common Factor of 5010

Frequently Asked Questions on GCF of 5005 and 5010

1. What is the GCF of 5005 and 5010?

Answer: GCF of 5005 and 5010 is 5.

2. 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.

3. What are the Factors of 5010?

Answer: Factors of 5010 are 1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010. There are 16 integers that are factors of 5010. The greatest factor of 5010 is 5010.

4. How to Find the GCF of 5005 and 5010?

Answer:

Greatest Common Factor of 5005 and 5010 = 5

Step 1: Find the prime factorization of 5005

5005 = 5 x 7 x 11 x 13

Step 2: Find the prime factorization of 5010

5010 = 2 x 3 x 5 x 167

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 5005 and 5010 is 5