Greatest Common Factor of 5005 and 5009

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, 5009 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5005 and 5009 is 1.

GCF(5005,5009) = 1

GCF of 5005 and 5009

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

GCF of:
and

Greatest Common Factor of 5005 and 5009

GCF of 5005 and 5009 is 1

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 5009


5009 5009
1

Prime factors of 5009 are 5009. Prime factorization of 5009 in exponential form is:

5009 = 50091

∴ So by taking common prime factors GCF of 5005 and 5009 is 1

Greatest Common Factor of 5005 and 5009 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 5009

List of positive integer factors of 5009 that divides 5009 without a remainder.

1,5009

Greatest Common Factor

We found the factors and prime factorization of 5005 and 5009. The biggest common factor number is the GCF number.
So the greatest common factor 5005 and 5009 is 1.

Also check out the Least Common Multiple of 5005 and 5009

Properties of GCF 5005 and 5009

(i) The GCF of 5005 and 5009 is associative

GCF of 5005 and 5009 = GCF of 5009 and 5005

Related Greatest Common Factor of 5005

Related Greatest Common Factor of 5009

Frequently Asked Questions on GCF of 5005 and 5009

1. What is the GCF of 5005 and 5009?

Answer: GCF of 5005 and 5009 is 1.

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 5009?

Answer: Factors of 5009 are 1, 5009. There are 2 integers that are factors of 5009. The greatest factor of 5009 is 5009.

4. How to Find the GCF of 5005 and 5009?

Answer:

Greatest Common Factor of 5005 and 5009 = 1

Step 1: Find the prime factorization of 5005

5005 = 5 x 7 x 11 x 13

Step 2: Find the prime factorization of 5009

5009 = 5009

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5005 and 5009 is 1