Greatest Common Factor of 558 and 561

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 558, 561 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 558 and 561 is 3.

GCF(558,561) = 3

GCF of 558 and 561

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

GCF of:
and

Greatest Common Factor of 558 and 561

GCF of 558 and 561 is 3

Prime Factorization of 558


2 558
3 279
3 93
31 31
1

Prime factors of 558 are 2,3,31. Prime factorization of 558 in exponential form is:

558 = 21×32×311

Prime Factorization of 561


3 561
11 187
17 17
1

Prime factors of 561 are 3,11,17. Prime factorization of 561 in exponential form is:

561 = 31×111×171

∴ So by taking common prime factors GCF of 558 and 561 is 3

Greatest Common Factor of 558 and 561 by matching factors method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors and prime factorization of 558 and 561. The biggest common factor number is the GCF number.
So the greatest common factor 558 and 561 is 3.

Also check out the Least Common Multiple of 558 and 561

Properties of GCF 558 and 561

(i) The GCF of 558 and 561 is associative

GCF of 558 and 561 = GCF of 561 and 558

Related Greatest Common Factor of 558

Related Greatest Common Factor of 561

Frequently Asked Questions on GCF of 558 and 561

1. What is the GCF of 558 and 561?

Answer: GCF of 558 and 561 is 3.

2. What are the Factors of 558?

Answer: Factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558. There are 12 integers that are factors of 558. The greatest factor of 558 is 558.

3. What are the Factors of 561?

Answer: Factors of 561 are 1, 3, 11, 17, 33, 51, 187, 561. There are 8 integers that are factors of 561. The greatest factor of 561 is 561.

4. How to Find the GCF of 558 and 561?

Answer:

Greatest Common Factor of 558 and 561 = 3

Step 1: Find the prime factorization of 558

558 = 2 x 3 x 3 x 31

Step 2: Find the prime factorization of 561

561 = 3 x 11 x 17

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 558 and 561 is 3