Greatest Common Factor of 5016 and 5022

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 5016, 5022 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5016 and 5022 is 6.

GCF(5016,5022) = 6

GCF of 5016 and 5022

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

GCF of:
and

Greatest Common Factor of 5016 and 5022

GCF of 5016 and 5022 is 6

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

Prime Factorization of 5022


2 5022
3 2511
3 837
3 279
3 93
31 31
1

Prime factors of 5022 are 2,3,31. Prime factorization of 5022 in exponential form is:

5022 = 21×34×311

∴ So by taking common prime factors GCF of 5016 and 5022 is 6

Greatest Common Factor of 5016 and 5022 by matching factors method

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

Factors of 5022

List of positive integer factors of 5022 that divides 5022 without a remainder.

1,2,3,6,9,18,27,31,54,62,81,93,162,186,279,558,837,1674,2511,5022

Greatest Common Factor

We found the factors and prime factorization of 5016 and 5022. The biggest common factor number is the GCF number.
So the greatest common factor 5016 and 5022 is 6.

Also check out the Least Common Multiple of 5016 and 5022

Properties of GCF 5016 and 5022

(i) The GCF of 5016 and 5022 is associative

GCF of 5016 and 5022 = GCF of 5022 and 5016

Related Greatest Common Factor of 5016

Related Greatest Common Factor of 5022

Frequently Asked Questions on GCF of 5016 and 5022

1. What is the GCF of 5016 and 5022?

Answer: GCF of 5016 and 5022 is 6.

2. 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.

3. What are the Factors of 5022?

Answer: Factors of 5022 are 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 81, 93, 162, 186, 279, 558, 837, 1674, 2511, 5022. There are 20 integers that are factors of 5022. The greatest factor of 5022 is 5022.

4. How to Find the GCF of 5016 and 5022?

Answer:

Greatest Common Factor of 5016 and 5022 = 6

Step 1: Find the prime factorization of 5016

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

Step 2: Find the prime factorization of 5022

5022 = 2 x 3 x 3 x 3 x 3 x 31

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5016 and 5022 is 6