Greatest Common Factor of 9560 and 9565

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 9560, 9565 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9560 and 9565 is 5.

GCF(9560,9565) = 5

GCF of 9560 and 9565

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

GCF of:
and

Greatest Common Factor of 9560 and 9565

GCF of 9560 and 9565 is 5

Prime Factorization of 9560


2 9560
2 4780
2 2390
5 1195
239 239
1

Prime factors of 9560 are 2,5,239. Prime factorization of 9560 in exponential form is:

9560 = 23×51×2391

Prime Factorization of 9565


5 9565
1913 1913
1

Prime factors of 9565 are 5,1913. Prime factorization of 9565 in exponential form is:

9565 = 51×19131

∴ So by taking common prime factors GCF of 9560 and 9565 is 5

Greatest Common Factor of 9560 and 9565 by matching factors method

Factors of 9560

List of positive integer factors of 9560 that divides 9560 without a remainder.

1,2,4,5,8,10,20,40,239,478,956,1195,1912,2390,4780,9560

Factors of 9565

List of positive integer factors of 9565 that divides 9565 without a remainder.

1,5,1913,9565

Greatest Common Factor

We found the factors and prime factorization of 9560 and 9565. The biggest common factor number is the GCF number.
So the greatest common factor 9560 and 9565 is 5.

Also check out the Least Common Multiple of 9560 and 9565

Properties of GCF 9560 and 9565

(i) The GCF of 9560 and 9565 is associative

GCF of 9560 and 9565 = GCF of 9565 and 9560

Related Greatest Common Factor of 9560

Related Greatest Common Factor of 9565

Frequently Asked Questions on GCF of 9560 and 9565

1. What is the GCF of 9560 and 9565?

Answer: GCF of 9560 and 9565 is 5.

2. What are the Factors of 9560?

Answer: Factors of 9560 are 1, 2, 4, 5, 8, 10, 20, 40, 239, 478, 956, 1195, 1912, 2390, 4780, 9560. There are 16 integers that are factors of 9560. The greatest factor of 9560 is 9560.

3. What are the Factors of 9565?

Answer: Factors of 9565 are 1, 5, 1913, 9565. There are 4 integers that are factors of 9565. The greatest factor of 9565 is 9565.

4. How to Find the GCF of 9560 and 9565?

Answer:

Greatest Common Factor of 9560 and 9565 = 5

Step 1: Find the prime factorization of 9560

9560 = 2 x 2 x 2 x 5 x 239

Step 2: Find the prime factorization of 9565

9565 = 5 x 1913

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 9560 and 9565 is 5