Greatest Common Factor of 9555 and 9560

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 9555, 9560 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9555 and 9560 is 5.

GCF(9555,9560) = 5

GCF of 9555 and 9560

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

GCF of:
and

Greatest Common Factor of 9555 and 9560

GCF of 9555 and 9560 is 5

Prime Factorization of 9555


3 9555
5 3185
7 637
7 91
13 13
1

Prime factors of 9555 are 3,5,7,13. Prime factorization of 9555 in exponential form is:

9555 = 31×51×72×131

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

∴ So by taking common prime factors GCF of 9555 and 9560 is 5

Greatest Common Factor of 9555 and 9560 by matching factors method

Factors of 9555

List of positive integer factors of 9555 that divides 9555 without a remainder.

1,3,5,7,13,15,21,35,39,49,65,91,105,147,195,245,273,455,637,735,1365,1911,3185,9555

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

Greatest Common Factor

We found the factors and prime factorization of 9555 and 9560. The biggest common factor number is the GCF number.
So the greatest common factor 9555 and 9560 is 5.

Also check out the Least Common Multiple of 9555 and 9560

Properties of GCF 9555 and 9560

(i) The GCF of 9555 and 9560 is associative

GCF of 9555 and 9560 = GCF of 9560 and 9555

Related Greatest Common Factor of 9555

Related Greatest Common Factor of 9560

Frequently Asked Questions on GCF of 9555 and 9560

1. What is the GCF of 9555 and 9560?

Answer: GCF of 9555 and 9560 is 5.

2. What are the Factors of 9555?

Answer: Factors of 9555 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 49, 65, 91, 105, 147, 195, 245, 273, 455, 637, 735, 1365, 1911, 3185, 9555. There are 24 integers that are factors of 9555. The greatest factor of 9555 is 9555.

3. 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.

4. How to Find the GCF of 9555 and 9560?

Answer:

Greatest Common Factor of 9555 and 9560 = 5

Step 1: Find the prime factorization of 9555

9555 = 3 x 5 x 7 x 7 x 13

Step 2: Find the prime factorization of 9560

9560 = 2 x 2 x 2 x 5 x 239

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 9555 and 9560 is 5