Greatest Common Factor of 5005 and 5012

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, 5012 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5005 and 5012 is 7.

GCF(5005,5012) = 7

GCF of 5005 and 5012

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

GCF of:
and

Greatest Common Factor of 5005 and 5012

GCF of 5005 and 5012 is 7

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 5012


2 5012
2 2506
7 1253
179 179
1

Prime factors of 5012 are 2,7,179. Prime factorization of 5012 in exponential form is:

5012 = 22×71×1791

∴ So by taking common prime factors GCF of 5005 and 5012 is 7

Greatest Common Factor of 5005 and 5012 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 5012

List of positive integer factors of 5012 that divides 5012 without a remainder.

1,2,4,7,14,28,179,358,716,1253,2506,5012

Greatest Common Factor

We found the factors and prime factorization of 5005 and 5012. The biggest common factor number is the GCF number.
So the greatest common factor 5005 and 5012 is 7.

Also check out the Least Common Multiple of 5005 and 5012

Properties of GCF 5005 and 5012

(i) The GCF of 5005 and 5012 is associative

GCF of 5005 and 5012 = GCF of 5012 and 5005

Related Greatest Common Factor of 5005

Related Greatest Common Factor of 5012

Frequently Asked Questions on GCF of 5005 and 5012

1. What is the GCF of 5005 and 5012?

Answer: GCF of 5005 and 5012 is 7.

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 5012?

Answer: Factors of 5012 are 1, 2, 4, 7, 14, 28, 179, 358, 716, 1253, 2506, 5012. There are 12 integers that are factors of 5012. The greatest factor of 5012 is 5012.

4. How to Find the GCF of 5005 and 5012?

Answer:

Greatest Common Factor of 5005 and 5012 = 7

Step 1: Find the prime factorization of 5005

5005 = 5 x 7 x 11 x 13

Step 2: Find the prime factorization of 5012

5012 = 2 x 2 x 7 x 179

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5005 and 5012 is 7