Greatest Common Factor of 5553 and 5559

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 5553, 5559 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5553 and 5559 is 3.

GCF(5553,5559) = 3

GCF of 5553 and 5559

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

GCF of:
and

Greatest Common Factor of 5553 and 5559

GCF of 5553 and 5559 is 3

Prime Factorization of 5553


3 5553
3 1851
617 617
1

Prime factors of 5553 are 3,617. Prime factorization of 5553 in exponential form is:

5553 = 32×6171

Prime Factorization of 5559


3 5559
17 1853
109 109
1

Prime factors of 5559 are 3,17,109. Prime factorization of 5559 in exponential form is:

5559 = 31×171×1091

∴ So by taking common prime factors GCF of 5553 and 5559 is 3

Greatest Common Factor of 5553 and 5559 by matching factors method

Factors of 5553

List of positive integer factors of 5553 that divides 5553 without a remainder.

1,3,9,617,1851,5553

Factors of 5559

List of positive integer factors of 5559 that divides 5559 without a remainder.

1,3,17,51,109,327,1853,5559

Greatest Common Factor

We found the factors and prime factorization of 5553 and 5559. The biggest common factor number is the GCF number.
So the greatest common factor 5553 and 5559 is 3.

Also check out the Least Common Multiple of 5553 and 5559

Properties of GCF 5553 and 5559

(i) The GCF of 5553 and 5559 is associative

GCF of 5553 and 5559 = GCF of 5559 and 5553

Related Greatest Common Factor of 5553

Related Greatest Common Factor of 5559

Frequently Asked Questions on GCF of 5553 and 5559

1. What is the GCF of 5553 and 5559?

Answer: GCF of 5553 and 5559 is 3.

2. What are the Factors of 5553?

Answer: Factors of 5553 are 1, 3, 9, 617, 1851, 5553. There are 6 integers that are factors of 5553. The greatest factor of 5553 is 5553.

3. What are the Factors of 5559?

Answer: Factors of 5559 are 1, 3, 17, 51, 109, 327, 1853, 5559. There are 8 integers that are factors of 5559. The greatest factor of 5559 is 5559.

4. How to Find the GCF of 5553 and 5559?

Answer:

Greatest Common Factor of 5553 and 5559 = 3

Step 1: Find the prime factorization of 5553

5553 = 3 x 3 x 617

Step 2: Find the prime factorization of 5559

5559 = 3 x 17 x 109

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 5553 and 5559 is 3