Greatest Common Factor of 9360 and 9368

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, 9368 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9360 and 9368 is 8.

GCF(9360,9368) = 8

GCF of 9360 and 9368

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

GCF of:
and

Greatest Common Factor of 9360 and 9368

GCF of 9360 and 9368 is 8

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 9368


2 9368
2 4684
2 2342
1171 1171
1

Prime factors of 9368 are 2,1171. Prime factorization of 9368 in exponential form is:

9368 = 23×11711

∴ So by taking common prime factors GCF of 9360 and 9368 is 8

Greatest Common Factor of 9360 and 9368 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 9368

List of positive integer factors of 9368 that divides 9368 without a remainder.

1,2,4,8,1171,2342,4684,9368

Greatest Common Factor

We found the factors and prime factorization of 9360 and 9368. The biggest common factor number is the GCF number.
So the greatest common factor 9360 and 9368 is 8.

Also check out the Least Common Multiple of 9360 and 9368

Properties of GCF 9360 and 9368

(i) The GCF of 9360 and 9368 is associative

GCF of 9360 and 9368 = GCF of 9368 and 9360

Related Greatest Common Factor of 9360

Related Greatest Common Factor of 9368

Frequently Asked Questions on GCF of 9360 and 9368

1. What is the GCF of 9360 and 9368?

Answer: GCF of 9360 and 9368 is 8.

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 9368?

Answer: Factors of 9368 are 1, 2, 4, 8, 1171, 2342, 4684, 9368. There are 8 integers that are factors of 9368. The greatest factor of 9368 is 9368.

4. How to Find the GCF of 9360 and 9368?

Answer:

Greatest Common Factor of 9360 and 9368 = 8

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 9368

9368 = 2 x 2 x 2 x 1171

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9360 and 9368 is 8