Greatest Common Factor of 558 and 566

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, 566 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 558 and 566 is 2.

GCF(558,566) = 2

GCF of 558 and 566

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

GCF of:
and

Greatest Common Factor of 558 and 566

GCF of 558 and 566 is 2

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 566


2 566
283 283
1

Prime factors of 566 are 2,283. Prime factorization of 566 in exponential form is:

566 = 21×2831

∴ So by taking common prime factors GCF of 558 and 566 is 2

Greatest Common Factor of 558 and 566 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 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors and prime factorization of 558 and 566. The biggest common factor number is the GCF number.
So the greatest common factor 558 and 566 is 2.

Also check out the Least Common Multiple of 558 and 566

Properties of GCF 558 and 566

(i) The GCF of 558 and 566 is associative

GCF of 558 and 566 = GCF of 566 and 558

Related Greatest Common Factor of 558

Related Greatest Common Factor of 566

Frequently Asked Questions on GCF of 558 and 566

1. What is the GCF of 558 and 566?

Answer: GCF of 558 and 566 is 2.

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 566?

Answer: Factors of 566 are 1, 2, 283, 566. There are 4 integers that are factors of 566. The greatest factor of 566 is 566.

4. How to Find the GCF of 558 and 566?

Answer:

Greatest Common Factor of 558 and 566 = 2

Step 1: Find the prime factorization of 558

558 = 2 x 3 x 3 x 31

Step 2: Find the prime factorization of 566

566 = 2 x 283

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 558 and 566 is 2