Greatest Common Factor of 5523 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 5523, 5524 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5523 and 5524 is 1.

GCF(5523,5524) = 1

GCF of 5523 and 5524

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

GCF of:
and

Greatest Common Factor of 5523 and 5524

GCF of 5523 and 5524 is 1

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 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 5523 and 5524 is 1

Greatest Common Factor of 5523 and 5524 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 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 5523 and 5524. The biggest common factor number is the GCF number.
So the greatest common factor 5523 and 5524 is 1.

Also check out the Least Common Multiple of 5523 and 5524

Properties of GCF 5523 and 5524

(i) The GCF of 5523 and 5524 is associative

GCF of 5523 and 5524 = GCF of 5524 and 5523

Related Greatest Common Factor of 5523

Related Greatest Common Factor of 5524

Frequently Asked Questions on GCF of 5523 and 5524

1. What is the GCF of 5523 and 5524?

Answer: GCF of 5523 and 5524 is 1.

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 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 5523 and 5524?

Answer:

Greatest Common Factor of 5523 and 5524 = 1

Step 1: Find the prime factorization of 5523

5523 = 3 x 7 x 263

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 = = 1

Step 4: Therefore, the greatest common factor of 5523 and 5524 is 1