Greatest Common Factor of 5523 and 5526

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 5523, 5526 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5523 and 5526 is 3.

GCF(5523,5526) = 3

GCF of 5523 and 5526

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

GCF of:
and

Greatest Common Factor of 5523 and 5526

GCF of 5523 and 5526 is 3

Prime Factorization of 5523


3 5523
7 1841
263 263
1

Prime factors of 5523 are 3,7,263. Prime factorization of 5523 in exponential form is:

5523 = 31×71×2631

Prime Factorization of 5526


2 5526
3 2763
3 921
307 307
1

Prime factors of 5526 are 2,3,307. Prime factorization of 5526 in exponential form is:

5526 = 21×32×3071

∴ So by taking common prime factors GCF of 5523 and 5526 is 3

Greatest Common Factor of 5523 and 5526 by matching factors method

Factors of 5523

List of positive integer factors of 5523 that divides 5523 without a remainder.

1,3,7,21,263,789,1841,5523

Factors of 5526

List of positive integer factors of 5526 that divides 5526 without a remainder.

1,2,3,6,9,18,307,614,921,1842,2763,5526

Greatest Common Factor

We found the factors and prime factorization of 5523 and 5526. The biggest common factor number is the GCF number.
So the greatest common factor 5523 and 5526 is 3.

Also check out the Least Common Multiple of 5523 and 5526

Properties of GCF 5523 and 5526

(i) The GCF of 5523 and 5526 is associative

GCF of 5523 and 5526 = GCF of 5526 and 5523

Related Greatest Common Factor of 5523

Related Greatest Common Factor of 5526

Frequently Asked Questions on GCF of 5523 and 5526

1. What is the GCF of 5523 and 5526?

Answer: GCF of 5523 and 5526 is 3.

2. What are the Factors of 5523?

Answer: Factors of 5523 are 1, 3, 7, 21, 263, 789, 1841, 5523. There are 8 integers that are factors of 5523. The greatest factor of 5523 is 5523.

3. What are the Factors of 5526?

Answer: Factors of 5526 are 1, 2, 3, 6, 9, 18, 307, 614, 921, 1842, 2763, 5526. There are 12 integers that are factors of 5526. The greatest factor of 5526 is 5526.

4. How to Find the GCF of 5523 and 5526?

Answer:

Greatest Common Factor of 5523 and 5526 = 3

Step 1: Find the prime factorization of 5523

5523 = 3 x 7 x 263

Step 2: Find the prime factorization of 5526

5526 = 2 x 3 x 3 x 307

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5523 and 5526 is 3