Greatest Common Factor of 5523 and 5531

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, 5531 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5523 and 5531 is 1.

GCF(5523,5531) = 1

GCF of 5523 and 5531

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

GCF of:
and

Greatest Common Factor of 5523 and 5531

GCF of 5523 and 5531 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 5531


5531 5531
1

Prime factors of 5531 are 5531. Prime factorization of 5531 in exponential form is:

5531 = 55311

∴ So by taking common prime factors GCF of 5523 and 5531 is 1

Greatest Common Factor of 5523 and 5531 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 5531

List of positive integer factors of 5531 that divides 5531 without a remainder.

1,5531

Greatest Common Factor

We found the factors and prime factorization of 5523 and 5531. The biggest common factor number is the GCF number.
So the greatest common factor 5523 and 5531 is 1.

Also check out the Least Common Multiple of 5523 and 5531

Properties of GCF 5523 and 5531

(i) The GCF of 5523 and 5531 is associative

GCF of 5523 and 5531 = GCF of 5531 and 5523

Related Greatest Common Factor of 5523

Related Greatest Common Factor of 5531

Frequently Asked Questions on GCF of 5523 and 5531

1. What is the GCF of 5523 and 5531?

Answer: GCF of 5523 and 5531 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 5531?

Answer: Factors of 5531 are 1, 5531. There are 2 integers that are factors of 5531. The greatest factor of 5531 is 5531.

4. How to Find the GCF of 5523 and 5531?

Answer:

Greatest Common Factor of 5523 and 5531 = 1

Step 1: Find the prime factorization of 5523

5523 = 3 x 7 x 263

Step 2: Find the prime factorization of 5531

5531 = 5531

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 5531 is 1