Greatest Common Factor of 5512 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 5512, 5520 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5512 and 5520 is 8.

GCF(5512,5520) = 8

GCF of 5512 and 5520

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

GCF of:
and

Greatest Common Factor of 5512 and 5520

GCF of 5512 and 5520 is 8

Prime Factorization of 5512


2 5512
2 2756
2 1378
13 689
53 53
1

Prime factors of 5512 are 2,13,53. Prime factorization of 5512 in exponential form is:

5512 = 23×131×531

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 5512 and 5520 is 8

Greatest Common Factor of 5512 and 5520 by matching factors method

Factors of 5512

List of positive integer factors of 5512 that divides 5512 without a remainder.

1,2,4,8,13,26,52,53,104,106,212,424,689,1378,2756,5512

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 5512 and 5520. The biggest common factor number is the GCF number.
So the greatest common factor 5512 and 5520 is 8.

Also check out the Least Common Multiple of 5512 and 5520

Properties of GCF 5512 and 5520

(i) The GCF of 5512 and 5520 is associative

GCF of 5512 and 5520 = GCF of 5520 and 5512

Related Greatest Common Factor of 5512

Related Greatest Common Factor of 5520

Frequently Asked Questions on GCF of 5512 and 5520

1. What is the GCF of 5512 and 5520?

Answer: GCF of 5512 and 5520 is 8.

2. What are the Factors of 5512?

Answer: Factors of 5512 are 1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756, 5512. There are 16 integers that are factors of 5512. The greatest factor of 5512 is 5512.

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 5512 and 5520?

Answer:

Greatest Common Factor of 5512 and 5520 = 8

Step 1: Find the prime factorization of 5512

5512 = 2 x 2 x 2 x 13 x 53

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 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 5512 and 5520 is 8