Greatest Common Factor of 5559 and 5564

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 5559, 5564 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5559 and 5564 is 1.

GCF(5559,5564) = 1

GCF of 5559 and 5564

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

GCF of:
and

Greatest Common Factor of 5559 and 5564

GCF of 5559 and 5564 is 1

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

Prime Factorization of 5564


2 5564
2 2782
13 1391
107 107
1

Prime factors of 5564 are 2,13,107. Prime factorization of 5564 in exponential form is:

5564 = 22×131×1071

∴ So by taking common prime factors GCF of 5559 and 5564 is 1

Greatest Common Factor of 5559 and 5564 by matching factors method

Factors of 5559

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

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

Factors of 5564

List of positive integer factors of 5564 that divides 5564 without a remainder.

1,2,4,13,26,52,107,214,428,1391,2782,5564

Greatest Common Factor

We found the factors and prime factorization of 5559 and 5564. The biggest common factor number is the GCF number.
So the greatest common factor 5559 and 5564 is 1.

Also check out the Least Common Multiple of 5559 and 5564

Properties of GCF 5559 and 5564

(i) The GCF of 5559 and 5564 is associative

GCF of 5559 and 5564 = GCF of 5564 and 5559

Related Greatest Common Factor of 5559

Related Greatest Common Factor of 5564

Frequently Asked Questions on GCF of 5559 and 5564

1. What is the GCF of 5559 and 5564?

Answer: GCF of 5559 and 5564 is 1.

2. 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.

3. What are the Factors of 5564?

Answer: Factors of 5564 are 1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782, 5564. There are 12 integers that are factors of 5564. The greatest factor of 5564 is 5564.

4. How to Find the GCF of 5559 and 5564?

Answer:

Greatest Common Factor of 5559 and 5564 = 1

Step 1: Find the prime factorization of 5559

5559 = 3 x 17 x 109

Step 2: Find the prime factorization of 5564

5564 = 2 x 2 x 13 x 107

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 5559 and 5564 is 1