Greatest Common Factor of 5014 and 5016

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 5014, 5016 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5014 and 5016 is 2.

GCF(5014,5016) = 2

GCF of 5014 and 5016

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

GCF of:
and

Greatest Common Factor of 5014 and 5016

GCF of 5014 and 5016 is 2

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

Prime Factorization of 5016


2 5016
2 2508
2 1254
3 627
11 209
19 19
1

Prime factors of 5016 are 2,3,11,19. Prime factorization of 5016 in exponential form is:

5016 = 23×31×111×191

∴ So by taking common prime factors GCF of 5014 and 5016 is 2

Greatest Common Factor of 5014 and 5016 by matching factors method

Factors of 5014

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

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

Factors of 5016

List of positive integer factors of 5016 that divides 5016 without a remainder.

1,2,3,4,6,8,11,12,19,22,24,33,38,44,57,66,76,88,114,132,152,209,228,264,418,456,627,836,1254,1672,2508,5016

Greatest Common Factor

We found the factors and prime factorization of 5014 and 5016. The biggest common factor number is the GCF number.
So the greatest common factor 5014 and 5016 is 2.

Also check out the Least Common Multiple of 5014 and 5016

Properties of GCF 5014 and 5016

(i) The GCF of 5014 and 5016 is associative

GCF of 5014 and 5016 = GCF of 5016 and 5014

Related Greatest Common Factor of 5014

Related Greatest Common Factor of 5016

Frequently Asked Questions on GCF of 5014 and 5016

1. What is the GCF of 5014 and 5016?

Answer: GCF of 5014 and 5016 is 2.

2. 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.

3. What are the Factors of 5016?

Answer: Factors of 5016 are 1, 2, 3, 4, 6, 8, 11, 12, 19, 22, 24, 33, 38, 44, 57, 66, 76, 88, 114, 132, 152, 209, 228, 264, 418, 456, 627, 836, 1254, 1672, 2508, 5016. There are 32 integers that are factors of 5016. The greatest factor of 5016 is 5016.

4. How to Find the GCF of 5014 and 5016?

Answer:

Greatest Common Factor of 5014 and 5016 = 2

Step 1: Find the prime factorization of 5014

5014 = 2 x 23 x 109

Step 2: Find the prime factorization of 5016

5016 = 2 x 2 x 2 x 3 x 11 x 19

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 5014 and 5016 is 2