Greatest Common Factor of 9354 and 9360

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 9354, 9360 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9354 and 9360 is 6.

GCF(9354,9360) = 6

GCF of 9354 and 9360

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

GCF of:
and

Greatest Common Factor of 9354 and 9360

GCF of 9354 and 9360 is 6

Prime Factorization of 9354


2 9354
3 4677
1559 1559
1

Prime factors of 9354 are 2,3,1559. Prime factorization of 9354 in exponential form is:

9354 = 21×31×15591

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

∴ So by taking common prime factors GCF of 9354 and 9360 is 6

Greatest Common Factor of 9354 and 9360 by matching factors method

Factors of 9354

List of positive integer factors of 9354 that divides 9354 without a remainder.

1,2,3,6,1559,3118,4677,9354

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

Greatest Common Factor

We found the factors and prime factorization of 9354 and 9360. The biggest common factor number is the GCF number.
So the greatest common factor 9354 and 9360 is 6.

Also check out the Least Common Multiple of 9354 and 9360

Properties of GCF 9354 and 9360

(i) The GCF of 9354 and 9360 is associative

GCF of 9354 and 9360 = GCF of 9360 and 9354

Related Greatest Common Factor of 9354

Related Greatest Common Factor of 9360

Frequently Asked Questions on GCF of 9354 and 9360

1. What is the GCF of 9354 and 9360?

Answer: GCF of 9354 and 9360 is 6.

2. What are the Factors of 9354?

Answer: Factors of 9354 are 1, 2, 3, 6, 1559, 3118, 4677, 9354. There are 8 integers that are factors of 9354. The greatest factor of 9354 is 9354.

3. 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.

4. How to Find the GCF of 9354 and 9360?

Answer:

Greatest Common Factor of 9354 and 9360 = 6

Step 1: Find the prime factorization of 9354

9354 = 2 x 3 x 1559

Step 2: Find the prime factorization of 9360

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9354 and 9360 is 6