Greatest Common Factor of 5006 and 5008

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 5006, 5008 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5006 and 5008 is 2.

GCF(5006,5008) = 2

GCF of 5006 and 5008

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

GCF of:
and

Greatest Common Factor of 5006 and 5008

GCF of 5006 and 5008 is 2

Prime Factorization of 5006


2 5006
2503 2503
1

Prime factors of 5006 are 2,2503. Prime factorization of 5006 in exponential form is:

5006 = 21×25031

Prime Factorization of 5008


2 5008
2 2504
2 1252
2 626
313 313
1

Prime factors of 5008 are 2,313. Prime factorization of 5008 in exponential form is:

5008 = 24×3131

∴ So by taking common prime factors GCF of 5006 and 5008 is 2

Greatest Common Factor of 5006 and 5008 by matching factors method

Factors of 5006

List of positive integer factors of 5006 that divides 5006 without a remainder.

1,2,2503,5006

Factors of 5008

List of positive integer factors of 5008 that divides 5008 without a remainder.

1,2,4,8,16,313,626,1252,2504,5008

Greatest Common Factor

We found the factors and prime factorization of 5006 and 5008. The biggest common factor number is the GCF number.
So the greatest common factor 5006 and 5008 is 2.

Also check out the Least Common Multiple of 5006 and 5008

Properties of GCF 5006 and 5008

(i) The GCF of 5006 and 5008 is associative

GCF of 5006 and 5008 = GCF of 5008 and 5006

Related Greatest Common Factor of 5006

Related Greatest Common Factor of 5008

Frequently Asked Questions on GCF of 5006 and 5008

1. What is the GCF of 5006 and 5008?

Answer: GCF of 5006 and 5008 is 2.

2. What are the Factors of 5006?

Answer: Factors of 5006 are 1, 2, 2503, 5006. There are 4 integers that are factors of 5006. The greatest factor of 5006 is 5006.

3. What are the Factors of 5008?

Answer: Factors of 5008 are 1, 2, 4, 8, 16, 313, 626, 1252, 2504, 5008. There are 10 integers that are factors of 5008. The greatest factor of 5008 is 5008.

4. How to Find the GCF of 5006 and 5008?

Answer:

Greatest Common Factor of 5006 and 5008 = 2

Step 1: Find the prime factorization of 5006

5006 = 2 x 2503

Step 2: Find the prime factorization of 5008

5008 = 2 x 2 x 2 x 2 x 313

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5006 and 5008 is 2