Greatest Common Factor of 556 and 559

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 556, 559 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 556 and 559 is 1.

GCF(556,559) = 1

GCF of 556 and 559

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

GCF of:
and

Greatest Common Factor of 556 and 559

GCF of 556 and 559 is 1

Prime Factorization of 556


2 556
2 278
139 139
1

Prime factors of 556 are 2,139. Prime factorization of 556 in exponential form is:

556 = 22×1391

Prime Factorization of 559


13 559
43 43
1

Prime factors of 559 are 13,43. Prime factorization of 559 in exponential form is:

559 = 131×431

∴ So by taking common prime factors GCF of 556 and 559 is 1

Greatest Common Factor of 556 and 559 by matching factors method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors and prime factorization of 556 and 559. The biggest common factor number is the GCF number.
So the greatest common factor 556 and 559 is 1.

Also check out the Least Common Multiple of 556 and 559

Properties of GCF 556 and 559

(i) The GCF of 556 and 559 is associative

GCF of 556 and 559 = GCF of 559 and 556

Related Greatest Common Factor of 556

Related Greatest Common Factor of 559

Frequently Asked Questions on GCF of 556 and 559

1. What is the GCF of 556 and 559?

Answer: GCF of 556 and 559 is 1.

2. What are the Factors of 556?

Answer: Factors of 556 are 1, 2, 4, 139, 278, 556. There are 6 integers that are factors of 556. The greatest factor of 556 is 556.

3. What are the Factors of 559?

Answer: Factors of 559 are 1, 13, 43, 559. There are 4 integers that are factors of 559. The greatest factor of 559 is 559.

4. How to Find the GCF of 556 and 559?

Answer:

Greatest Common Factor of 556 and 559 = 1

Step 1: Find the prime factorization of 556

556 = 2 x 2 x 139

Step 2: Find the prime factorization of 559

559 = 13 x 43

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 556 and 559 is 1