Greatest Common Factor of 9566 and 9570

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 9566, 9570 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9566 and 9570 is 2.

GCF(9566,9570) = 2

GCF of 9566 and 9570

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

GCF of:
and

Greatest Common Factor of 9566 and 9570

GCF of 9566 and 9570 is 2

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

Prime Factorization of 9570


2 9570
3 4785
5 1595
11 319
29 29
1

Prime factors of 9570 are 2,3,5,11,29. Prime factorization of 9570 in exponential form is:

9570 = 21×31×51×111×291

∴ So by taking common prime factors GCF of 9566 and 9570 is 2

Greatest Common Factor of 9566 and 9570 by matching factors method

Factors of 9566

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

1,2,4783,9566

Factors of 9570

List of positive integer factors of 9570 that divides 9570 without a remainder.

1,2,3,5,6,10,11,15,22,29,30,33,55,58,66,87,110,145,165,174,290,319,330,435,638,870,957,1595,1914,3190,4785,9570

Greatest Common Factor

We found the factors and prime factorization of 9566 and 9570. The biggest common factor number is the GCF number.
So the greatest common factor 9566 and 9570 is 2.

Also check out the Least Common Multiple of 9566 and 9570

Properties of GCF 9566 and 9570

(i) The GCF of 9566 and 9570 is associative

GCF of 9566 and 9570 = GCF of 9570 and 9566

Related Greatest Common Factor of 9566

Related Greatest Common Factor of 9570

Frequently Asked Questions on GCF of 9566 and 9570

1. What is the GCF of 9566 and 9570?

Answer: GCF of 9566 and 9570 is 2.

2. 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.

3. What are the Factors of 9570?

Answer: Factors of 9570 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 29, 30, 33, 55, 58, 66, 87, 110, 145, 165, 174, 290, 319, 330, 435, 638, 870, 957, 1595, 1914, 3190, 4785, 9570. There are 32 integers that are factors of 9570. The greatest factor of 9570 is 9570.

4. How to Find the GCF of 9566 and 9570?

Answer:

Greatest Common Factor of 9566 and 9570 = 2

Step 1: Find the prime factorization of 9566

9566 = 2 x 4783

Step 2: Find the prime factorization of 9570

9570 = 2 x 3 x 5 x 11 x 29

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 9566 and 9570 is 2