Greatest Common Factor of 9562 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 9562, 9570 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9562 and 9570 is 2.

GCF(9562,9570) = 2

GCF of 9562 and 9570

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

GCF of:
and

Greatest Common Factor of 9562 and 9570

GCF of 9562 and 9570 is 2

Prime Factorization of 9562


2 9562
7 4781
683 683
1

Prime factors of 9562 are 2,7,683. Prime factorization of 9562 in exponential form is:

9562 = 21×71×6831

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 9562 and 9570 is 2

Greatest Common Factor of 9562 and 9570 by matching factors method

Factors of 9562

List of positive integer factors of 9562 that divides 9562 without a remainder.

1,2,7,14,683,1366,4781,9562

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 9562 and 9570. The biggest common factor number is the GCF number.
So the greatest common factor 9562 and 9570 is 2.

Also check out the Least Common Multiple of 9562 and 9570

Properties of GCF 9562 and 9570

(i) The GCF of 9562 and 9570 is associative

GCF of 9562 and 9570 = GCF of 9570 and 9562

Related Greatest Common Factor of 9562

Related Greatest Common Factor of 9570

Frequently Asked Questions on GCF of 9562 and 9570

1. What is the GCF of 9562 and 9570?

Answer: GCF of 9562 and 9570 is 2.

2. What are the Factors of 9562?

Answer: Factors of 9562 are 1, 2, 7, 14, 683, 1366, 4781, 9562. There are 8 integers that are factors of 9562. The greatest factor of 9562 is 9562.

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 9562 and 9570?

Answer:

Greatest Common Factor of 9562 and 9570 = 2

Step 1: Find the prime factorization of 9562

9562 = 2 x 7 x 683

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 9562 and 9570 is 2