Greatest Common Factor of 5520 and 5524

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 5520, 5524 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5520 and 5524 is 4.

GCF(5520,5524) = 4

GCF of 5520 and 5524

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

GCF of:
and

Greatest Common Factor of 5520 and 5524

GCF of 5520 and 5524 is 4

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

Prime Factorization of 5524


2 5524
2 2762
1381 1381
1

Prime factors of 5524 are 2,1381. Prime factorization of 5524 in exponential form is:

5524 = 22×13811

∴ So by taking common prime factors GCF of 5520 and 5524 is 4

Greatest Common Factor of 5520 and 5524 by matching factors method

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

Factors of 5524

List of positive integer factors of 5524 that divides 5524 without a remainder.

1,2,4,1381,2762,5524

Greatest Common Factor

We found the factors and prime factorization of 5520 and 5524. The biggest common factor number is the GCF number.
So the greatest common factor 5520 and 5524 is 4.

Also check out the Least Common Multiple of 5520 and 5524

Properties of GCF 5520 and 5524

(i) The GCF of 5520 and 5524 is associative

GCF of 5520 and 5524 = GCF of 5524 and 5520

Related Greatest Common Factor of 5520

Related Greatest Common Factor of 5524

Frequently Asked Questions on GCF of 5520 and 5524

1. What is the GCF of 5520 and 5524?

Answer: GCF of 5520 and 5524 is 4.

2. 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.

3. What are the Factors of 5524?

Answer: Factors of 5524 are 1, 2, 4, 1381, 2762, 5524. There are 6 integers that are factors of 5524. The greatest factor of 5524 is 5524.

4. How to Find the GCF of 5520 and 5524?

Answer:

Greatest Common Factor of 5520 and 5524 = 4

Step 1: Find the prime factorization of 5520

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

Step 2: Find the prime factorization of 5524

5524 = 2 x 2 x 1381

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5520 and 5524 is 4