Greatest Common Factor of 5523 and 5529

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, 5529 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5523 and 5529 is 3.

GCF(5523,5529) = 3

GCF of 5523 and 5529

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

GCF of:
and

Greatest Common Factor of 5523 and 5529

GCF of 5523 and 5529 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 5529


3 5529
19 1843
97 97
1

Prime factors of 5529 are 3,19,97. Prime factorization of 5529 in exponential form is:

5529 = 31×191×971

∴ So by taking common prime factors GCF of 5523 and 5529 is 3

Greatest Common Factor of 5523 and 5529 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 5529

List of positive integer factors of 5529 that divides 5529 without a remainder.

1,3,19,57,97,291,1843,5529

Greatest Common Factor

We found the factors and prime factorization of 5523 and 5529. The biggest common factor number is the GCF number.
So the greatest common factor 5523 and 5529 is 3.

Also check out the Least Common Multiple of 5523 and 5529

Properties of GCF 5523 and 5529

(i) The GCF of 5523 and 5529 is associative

GCF of 5523 and 5529 = GCF of 5529 and 5523

Related Greatest Common Factor of 5523

Related Greatest Common Factor of 5529

Frequently Asked Questions on GCF of 5523 and 5529

1. What is the GCF of 5523 and 5529?

Answer: GCF of 5523 and 5529 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 5529?

Answer: Factors of 5529 are 1, 3, 19, 57, 97, 291, 1843, 5529. There are 8 integers that are factors of 5529. The greatest factor of 5529 is 5529.

4. How to Find the GCF of 5523 and 5529?

Answer:

Greatest Common Factor of 5523 and 5529 = 3

Step 1: Find the prime factorization of 5523

5523 = 3 x 7 x 263

Step 2: Find the prime factorization of 5529

5529 = 3 x 19 x 97

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 5529 is 3