Greatest Common Factor of 5008 and 5014

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 5008, 5014 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5008 and 5014 is 2.

GCF(5008,5014) = 2

GCF of 5008 and 5014

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

GCF of:
and

Greatest Common Factor of 5008 and 5014

GCF of 5008 and 5014 is 2

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

Prime Factorization of 5014


2 5014
23 2507
109 109
1

Prime factors of 5014 are 2,23,109. Prime factorization of 5014 in exponential form is:

5014 = 21×231×1091

∴ So by taking common prime factors GCF of 5008 and 5014 is 2

Greatest Common Factor of 5008 and 5014 by matching factors method

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

Factors of 5014

List of positive integer factors of 5014 that divides 5014 without a remainder.

1,2,23,46,109,218,2507,5014

Greatest Common Factor

We found the factors and prime factorization of 5008 and 5014. The biggest common factor number is the GCF number.
So the greatest common factor 5008 and 5014 is 2.

Also check out the Least Common Multiple of 5008 and 5014

Properties of GCF 5008 and 5014

(i) The GCF of 5008 and 5014 is associative

GCF of 5008 and 5014 = GCF of 5014 and 5008

Related Greatest Common Factor of 5008

Related Greatest Common Factor of 5014

Frequently Asked Questions on GCF of 5008 and 5014

1. What is the GCF of 5008 and 5014?

Answer: GCF of 5008 and 5014 is 2.

2. 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.

3. What are the Factors of 5014?

Answer: Factors of 5014 are 1, 2, 23, 46, 109, 218, 2507, 5014. There are 8 integers that are factors of 5014. The greatest factor of 5014 is 5014.

4. How to Find the GCF of 5008 and 5014?

Answer:

Greatest Common Factor of 5008 and 5014 = 2

Step 1: Find the prime factorization of 5008

5008 = 2 x 2 x 2 x 2 x 313

Step 2: Find the prime factorization of 5014

5014 = 2 x 23 x 109

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 5008 and 5014 is 2