Greatest Common Factor of 9570 and 9578

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 9570, 9578 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9570 and 9578 is 2.

GCF(9570,9578) = 2

GCF of 9570 and 9578

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

GCF of:
and

Greatest Common Factor of 9570 and 9578

GCF of 9570 and 9578 is 2

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

Prime Factorization of 9578


2 9578
4789 4789
1

Prime factors of 9578 are 2,4789. Prime factorization of 9578 in exponential form is:

9578 = 21×47891

∴ So by taking common prime factors GCF of 9570 and 9578 is 2

Greatest Common Factor of 9570 and 9578 by matching factors method

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

Factors of 9578

List of positive integer factors of 9578 that divides 9578 without a remainder.

1,2,4789,9578

Greatest Common Factor

We found the factors and prime factorization of 9570 and 9578. The biggest common factor number is the GCF number.
So the greatest common factor 9570 and 9578 is 2.

Also check out the Least Common Multiple of 9570 and 9578

Properties of GCF 9570 and 9578

(i) The GCF of 9570 and 9578 is associative

GCF of 9570 and 9578 = GCF of 9578 and 9570

Related Greatest Common Factor of 9570

Related Greatest Common Factor of 9578

Frequently Asked Questions on GCF of 9570 and 9578

1. What is the GCF of 9570 and 9578?

Answer: GCF of 9570 and 9578 is 2.

2. 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.

3. What are the Factors of 9578?

Answer: Factors of 9578 are 1, 2, 4789, 9578. There are 4 integers that are factors of 9578. The greatest factor of 9578 is 9578.

4. How to Find the GCF of 9570 and 9578?

Answer:

Greatest Common Factor of 9570 and 9578 = 2

Step 1: Find the prime factorization of 9570

9570 = 2 x 3 x 5 x 11 x 29

Step 2: Find the prime factorization of 9578

9578 = 2 x 4789

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 9570 and 9578 is 2