Greatest Common Factor of 5005 and 5007

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, 5007 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5005 and 5007 is 1.

GCF(5005,5007) = 1

GCF of 5005 and 5007

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

GCF of:
and

Greatest Common Factor of 5005 and 5007

GCF of 5005 and 5007 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 5007


3 5007
1669 1669
1

Prime factors of 5007 are 3,1669. Prime factorization of 5007 in exponential form is:

5007 = 31×16691

∴ So by taking common prime factors GCF of 5005 and 5007 is 1

Greatest Common Factor of 5005 and 5007 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 5007

List of positive integer factors of 5007 that divides 5007 without a remainder.

1,3,1669,5007

Greatest Common Factor

We found the factors and prime factorization of 5005 and 5007. The biggest common factor number is the GCF number.
So the greatest common factor 5005 and 5007 is 1.

Also check out the Least Common Multiple of 5005 and 5007

Properties of GCF 5005 and 5007

(i) The GCF of 5005 and 5007 is associative

GCF of 5005 and 5007 = GCF of 5007 and 5005

Related Greatest Common Factor of 5005

Related Greatest Common Factor of 5007

Frequently Asked Questions on GCF of 5005 and 5007

1. What is the GCF of 5005 and 5007?

Answer: GCF of 5005 and 5007 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 5007?

Answer: Factors of 5007 are 1, 3, 1669, 5007. There are 4 integers that are factors of 5007. The greatest factor of 5007 is 5007.

4. How to Find the GCF of 5005 and 5007?

Answer:

Greatest Common Factor of 5005 and 5007 = 1

Step 1: Find the prime factorization of 5005

5005 = 5 x 7 x 11 x 13

Step 2: Find the prime factorization of 5007

5007 = 3 x 1669

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 5007 is 1