Greatest Common Factor of 5523 and 5530

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, 5530 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5523 and 5530 is 7.

GCF(5523,5530) = 7

GCF of 5523 and 5530

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

GCF of:
and

Greatest Common Factor of 5523 and 5530

GCF of 5523 and 5530 is 7

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 5530


2 5530
5 2765
7 553
79 79
1

Prime factors of 5530 are 2,5,7,79. Prime factorization of 5530 in exponential form is:

5530 = 21×51×71×791

∴ So by taking common prime factors GCF of 5523 and 5530 is 7

Greatest Common Factor of 5523 and 5530 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 5530

List of positive integer factors of 5530 that divides 5530 without a remainder.

1,2,5,7,10,14,35,70,79,158,395,553,790,1106,2765,5530

Greatest Common Factor

We found the factors and prime factorization of 5523 and 5530. The biggest common factor number is the GCF number.
So the greatest common factor 5523 and 5530 is 7.

Also check out the Least Common Multiple of 5523 and 5530

Properties of GCF 5523 and 5530

(i) The GCF of 5523 and 5530 is associative

GCF of 5523 and 5530 = GCF of 5530 and 5523

Related Greatest Common Factor of 5523

Related Greatest Common Factor of 5530

Frequently Asked Questions on GCF of 5523 and 5530

1. What is the GCF of 5523 and 5530?

Answer: GCF of 5523 and 5530 is 7.

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 5530?

Answer: Factors of 5530 are 1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530. There are 16 integers that are factors of 5530. The greatest factor of 5530 is 5530.

4. How to Find the GCF of 5523 and 5530?

Answer:

Greatest Common Factor of 5523 and 5530 = 7

Step 1: Find the prime factorization of 5523

5523 = 3 x 7 x 263

Step 2: Find the prime factorization of 5530

5530 = 2 x 5 x 7 x 79

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5523 and 5530 is 7