Greatest Common Factor of 9570 and 9575

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, 9575 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9570 and 9575 is 5.

GCF(9570,9575) = 5

GCF of 9570 and 9575

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

GCF of:
and

Greatest Common Factor of 9570 and 9575

GCF of 9570 and 9575 is 5

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 9575


5 9575
5 1915
383 383
1

Prime factors of 9575 are 5,383. Prime factorization of 9575 in exponential form is:

9575 = 52×3831

∴ So by taking common prime factors GCF of 9570 and 9575 is 5

Greatest Common Factor of 9570 and 9575 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 9575

List of positive integer factors of 9575 that divides 9575 without a remainder.

1,5,25,383,1915,9575

Greatest Common Factor

We found the factors and prime factorization of 9570 and 9575. The biggest common factor number is the GCF number.
So the greatest common factor 9570 and 9575 is 5.

Also check out the Least Common Multiple of 9570 and 9575

Properties of GCF 9570 and 9575

(i) The GCF of 9570 and 9575 is associative

GCF of 9570 and 9575 = GCF of 9575 and 9570

Related Greatest Common Factor of 9570

Related Greatest Common Factor of 9575

Frequently Asked Questions on GCF of 9570 and 9575

1. What is the GCF of 9570 and 9575?

Answer: GCF of 9570 and 9575 is 5.

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 9575?

Answer: Factors of 9575 are 1, 5, 25, 383, 1915, 9575. There are 6 integers that are factors of 9575. The greatest factor of 9575 is 9575.

4. How to Find the GCF of 9570 and 9575?

Answer:

Greatest Common Factor of 9570 and 9575 = 5

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 9575

9575 = 5 x 5 x 383

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9570 and 9575 is 5