Greatest Common Factor of 5517 and 5523

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 5517, 5523 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5517 and 5523 is 3.

GCF(5517,5523) = 3

GCF of 5517 and 5523

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

GCF of:
and

Greatest Common Factor of 5517 and 5523

GCF of 5517 and 5523 is 3

Prime Factorization of 5517


3 5517
3 1839
613 613
1

Prime factors of 5517 are 3,613. Prime factorization of 5517 in exponential form is:

5517 = 32×6131

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

∴ So by taking common prime factors GCF of 5517 and 5523 is 3

Greatest Common Factor of 5517 and 5523 by matching factors method

Factors of 5517

List of positive integer factors of 5517 that divides 5517 without a remainder.

1,3,9,613,1839,5517

Factors of 5523

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

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

Greatest Common Factor

We found the factors and prime factorization of 5517 and 5523. The biggest common factor number is the GCF number.
So the greatest common factor 5517 and 5523 is 3.

Also check out the Least Common Multiple of 5517 and 5523

Properties of GCF 5517 and 5523

(i) The GCF of 5517 and 5523 is associative

GCF of 5517 and 5523 = GCF of 5523 and 5517

Related Greatest Common Factor of 5517

Related Greatest Common Factor of 5523

Frequently Asked Questions on GCF of 5517 and 5523

1. What is the GCF of 5517 and 5523?

Answer: GCF of 5517 and 5523 is 3.

2. What are the Factors of 5517?

Answer: Factors of 5517 are 1, 3, 9, 613, 1839, 5517. There are 6 integers that are factors of 5517. The greatest factor of 5517 is 5517.

3. 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.

4. How to Find the GCF of 5517 and 5523?

Answer:

Greatest Common Factor of 5517 and 5523 = 3

Step 1: Find the prime factorization of 5517

5517 = 3 x 3 x 613

Step 2: Find the prime factorization of 5523

5523 = 3 x 7 x 263

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 5517 and 5523 is 3