Greatest Common Factor of 5514 and 5520

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 5514, 5520 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5514 and 5520 is 6.

GCF(5514,5520) = 6

GCF of 5514 and 5520

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

GCF of:
and

Greatest Common Factor of 5514 and 5520

GCF of 5514 and 5520 is 6

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

Prime Factorization of 5520


2 5520
2 2760
2 1380
2 690
3 345
5 115
23 23
1

Prime factors of 5520 are 2,3,5,23. Prime factorization of 5520 in exponential form is:

5520 = 24×31×51×231

∴ So by taking common prime factors GCF of 5514 and 5520 is 6

Greatest Common Factor of 5514 and 5520 by matching factors method

Factors of 5514

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

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

Factors of 5520

List of positive integer factors of 5520 that divides 5520 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,23,24,30,40,46,48,60,69,80,92,115,120,138,184,230,240,276,345,368,460,552,690,920,1104,1380,1840,2760,5520

Greatest Common Factor

We found the factors and prime factorization of 5514 and 5520. The biggest common factor number is the GCF number.
So the greatest common factor 5514 and 5520 is 6.

Also check out the Least Common Multiple of 5514 and 5520

Properties of GCF 5514 and 5520

(i) The GCF of 5514 and 5520 is associative

GCF of 5514 and 5520 = GCF of 5520 and 5514

Related Greatest Common Factor of 5514

Related Greatest Common Factor of 5520

Frequently Asked Questions on GCF of 5514 and 5520

1. What is the GCF of 5514 and 5520?

Answer: GCF of 5514 and 5520 is 6.

2. 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.

3. What are the Factors of 5520?

Answer: Factors of 5520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 40, 46, 48, 60, 69, 80, 92, 115, 120, 138, 184, 230, 240, 276, 345, 368, 460, 552, 690, 920, 1104, 1380, 1840, 2760, 5520. There are 40 integers that are factors of 5520. The greatest factor of 5520 is 5520.

4. How to Find the GCF of 5514 and 5520?

Answer:

Greatest Common Factor of 5514 and 5520 = 6

Step 1: Find the prime factorization of 5514

5514 = 2 x 3 x 919

Step 2: Find the prime factorization of 5520

5520 = 2 x 2 x 2 x 2 x 3 x 5 x 23

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 5514 and 5520 is 6