Greatest Common Factor of 5508 and 5514

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 5508, 5514 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5508 and 5514 is 6.

GCF(5508,5514) = 6

GCF of 5508 and 5514

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

GCF of:
and

Greatest Common Factor of 5508 and 5514

GCF of 5508 and 5514 is 6

Prime Factorization of 5508


2 5508
2 2754
3 1377
3 459
3 153
3 51
17 17
1

Prime factors of 5508 are 2,3,17. Prime factorization of 5508 in exponential form is:

5508 = 22×34×171

Prime Factorization of 5514


2 5514
3 2757
919 919
1

Prime factors of 5514 are 2,3,919. Prime factorization of 5514 in exponential form is:

5514 = 21×31×9191

∴ So by taking common prime factors GCF of 5508 and 5514 is 6

Greatest Common Factor of 5508 and 5514 by matching factors method

Factors of 5508

List of positive integer factors of 5508 that divides 5508 without a remainder.

1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,81,102,108,153,162,204,306,324,459,612,918,1377,1836,2754,5508

Factors of 5514

List of positive integer factors of 5514 that divides 5514 without a remainder.

1,2,3,6,919,1838,2757,5514

Greatest Common Factor

We found the factors and prime factorization of 5508 and 5514. The biggest common factor number is the GCF number.
So the greatest common factor 5508 and 5514 is 6.

Also check out the Least Common Multiple of 5508 and 5514

Properties of GCF 5508 and 5514

(i) The GCF of 5508 and 5514 is associative

GCF of 5508 and 5514 = GCF of 5514 and 5508

Related Greatest Common Factor of 5508

Related Greatest Common Factor of 5514

Frequently Asked Questions on GCF of 5508 and 5514

1. What is the GCF of 5508 and 5514?

Answer: GCF of 5508 and 5514 is 6.

2. What are the Factors of 5508?

Answer: Factors of 5508 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 81, 102, 108, 153, 162, 204, 306, 324, 459, 612, 918, 1377, 1836, 2754, 5508. There are 30 integers that are factors of 5508. The greatest factor of 5508 is 5508.

3. What are the Factors of 5514?

Answer: Factors of 5514 are 1, 2, 3, 6, 919, 1838, 2757, 5514. There are 8 integers that are factors of 5514. The greatest factor of 5514 is 5514.

4. How to Find the GCF of 5508 and 5514?

Answer:

Greatest Common Factor of 5508 and 5514 = 6

Step 1: Find the prime factorization of 5508

5508 = 2 x 2 x 3 x 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 5514

5514 = 2 x 3 x 919

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 5508 and 5514 is 6