Greatest Common Factor of 9558 and 9566

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 9558, 9566 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9558 and 9566 is 2.

GCF(9558,9566) = 2

GCF of 9558 and 9566

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

GCF of:
and

Greatest Common Factor of 9558 and 9566

GCF of 9558 and 9566 is 2

Prime Factorization of 9558


2 9558
3 4779
3 1593
3 531
3 177
59 59
1

Prime factors of 9558 are 2,3,59. Prime factorization of 9558 in exponential form is:

9558 = 21×34×591

Prime Factorization of 9566


2 9566
4783 4783
1

Prime factors of 9566 are 2,4783. Prime factorization of 9566 in exponential form is:

9566 = 21×47831

∴ So by taking common prime factors GCF of 9558 and 9566 is 2

Greatest Common Factor of 9558 and 9566 by matching factors method

Factors of 9558

List of positive integer factors of 9558 that divides 9558 without a remainder.

1,2,3,6,9,18,27,54,59,81,118,162,177,354,531,1062,1593,3186,4779,9558

Factors of 9566

List of positive integer factors of 9566 that divides 9566 without a remainder.

1,2,4783,9566

Greatest Common Factor

We found the factors and prime factorization of 9558 and 9566. The biggest common factor number is the GCF number.
So the greatest common factor 9558 and 9566 is 2.

Also check out the Least Common Multiple of 9558 and 9566

Properties of GCF 9558 and 9566

(i) The GCF of 9558 and 9566 is associative

GCF of 9558 and 9566 = GCF of 9566 and 9558

Frequently Asked Questions on GCF of 9558 and 9566

1. What is the GCF of 9558 and 9566?

Answer: GCF of 9558 and 9566 is 2.

2. What are the Factors of 9558?

Answer: Factors of 9558 are 1, 2, 3, 6, 9, 18, 27, 54, 59, 81, 118, 162, 177, 354, 531, 1062, 1593, 3186, 4779, 9558. There are 20 integers that are factors of 9558. The greatest factor of 9558 is 9558.

3. What are the Factors of 9566?

Answer: Factors of 9566 are 1, 2, 4783, 9566. There are 4 integers that are factors of 9566. The greatest factor of 9566 is 9566.

4. How to Find the GCF of 9558 and 9566?

Answer:

Greatest Common Factor of 9558 and 9566 = 2

Step 1: Find the prime factorization of 9558

9558 = 2 x 3 x 3 x 3 x 3 x 59

Step 2: Find the prime factorization of 9566

9566 = 2 x 4783

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 9558 and 9566 is 2