Greatest Common Factor of 9360 and 9361

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 9360, 9361 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9360 and 9361 is 1.

GCF(9360,9361) = 1

GCF of 9360 and 9361

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

GCF of:
and

Greatest Common Factor of 9360 and 9361

GCF of 9360 and 9361 is 1

Prime Factorization of 9360


2 9360
2 4680
2 2340
2 1170
3 585
3 195
5 65
13 13
1

Prime factors of 9360 are 2,3,5,13. Prime factorization of 9360 in exponential form is:

9360 = 24×32×51×131

Prime Factorization of 9361


11 9361
23 851
37 37
1

Prime factors of 9361 are 11,23,37. Prime factorization of 9361 in exponential form is:

9361 = 111×231×371

∴ So by taking common prime factors GCF of 9360 and 9361 is 1

Greatest Common Factor of 9360 and 9361 by matching factors method

Factors of 9360

List of positive integer factors of 9360 that divides 9360 without a remainder.

1,2,3,4,5,6,8,9,10,12,13,15,16,18,20,24,26,30,36,39,40,45,48,52,60,65,72,78,80,90,104,117,120,130,144,156,180,195,208,234,240,260,312,360,390,468,520,585,624,720,780,936,1040,1170,1560,1872,2340,3120,4680,9360

Factors of 9361

List of positive integer factors of 9361 that divides 9361 without a remainder.

1,11,23,37,253,407,851,9361

Greatest Common Factor

We found the factors and prime factorization of 9360 and 9361. The biggest common factor number is the GCF number.
So the greatest common factor 9360 and 9361 is 1.

Also check out the Least Common Multiple of 9360 and 9361

Properties of GCF 9360 and 9361

(i) The GCF of 9360 and 9361 is associative

GCF of 9360 and 9361 = GCF of 9361 and 9360

Related Greatest Common Factor of 9360

Related Greatest Common Factor of 9361

Frequently Asked Questions on GCF of 9360 and 9361

1. What is the GCF of 9360 and 9361?

Answer: GCF of 9360 and 9361 is 1.

2. What are the Factors of 9360?

Answer: Factors of 9360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 36, 39, 40, 45, 48, 52, 60, 65, 72, 78, 80, 90, 104, 117, 120, 130, 144, 156, 180, 195, 208, 234, 240, 260, 312, 360, 390, 468, 520, 585, 624, 720, 780, 936, 1040, 1170, 1560, 1872, 2340, 3120, 4680, 9360. There are 60 integers that are factors of 9360. The greatest factor of 9360 is 9360.

3. What are the Factors of 9361?

Answer: Factors of 9361 are 1, 11, 23, 37, 253, 407, 851, 9361. There are 8 integers that are factors of 9361. The greatest factor of 9361 is 9361.

4. How to Find the GCF of 9360 and 9361?

Answer:

Greatest Common Factor of 9360 and 9361 = 1

Step 1: Find the prime factorization of 9360

9360 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13

Step 2: Find the prime factorization of 9361

9361 = 11 x 23 x 37

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9360 and 9361 is 1