Greatest Common Factor of 9234 and 9240

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 9234, 9240 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9234 and 9240 is 6.

GCF(9234,9240) = 6

GCF of 9234 and 9240

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

GCF of:
and

Greatest Common Factor of 9234 and 9240

GCF of 9234 and 9240 is 6

Prime Factorization of 9234


2 9234
3 4617
3 1539
3 513
3 171
3 57
19 19
1

Prime factors of 9234 are 2,3,19. Prime factorization of 9234 in exponential form is:

9234 = 21×35×191

Prime Factorization of 9240


2 9240
2 4620
2 2310
3 1155
5 385
7 77
11 11
1

Prime factors of 9240 are 2,3,5,7,11. Prime factorization of 9240 in exponential form is:

9240 = 23×31×51×71×111

∴ So by taking common prime factors GCF of 9234 and 9240 is 6

Greatest Common Factor of 9234 and 9240 by matching factors method

Factors of 9234

List of positive integer factors of 9234 that divides 9234 without a remainder.

1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,243,342,486,513,1026,1539,3078,4617,9234

Factors of 9240

List of positive integer factors of 9240 that divides 9240 without a remainder.

1,2,3,4,5,6,7,8,10,11,12,14,15,20,21,22,24,28,30,33,35,40,42,44,55,56,60,66,70,77,84,88,105,110,120,132,140,154,165,168,210,220,231,264,280,308,330,385,420,440,462,616,660,770,840,924,1155,1320,1540,1848,2310,3080,4620,9240

Greatest Common Factor

We found the factors and prime factorization of 9234 and 9240. The biggest common factor number is the GCF number.
So the greatest common factor 9234 and 9240 is 6.

Also check out the Least Common Multiple of 9234 and 9240

Properties of GCF 9234 and 9240

(i) The GCF of 9234 and 9240 is associative

GCF of 9234 and 9240 = GCF of 9240 and 9234

Related Greatest Common Factor of 9234

Related Greatest Common Factor of 9240

Frequently Asked Questions on GCF of 9234 and 9240

1. What is the GCF of 9234 and 9240?

Answer: GCF of 9234 and 9240 is 6.

2. What are the Factors of 9234?

Answer: Factors of 9234 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 243, 342, 486, 513, 1026, 1539, 3078, 4617, 9234. There are 24 integers that are factors of 9234. The greatest factor of 9234 is 9234.

3. What are the Factors of 9240?

Answer: Factors of 9240 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 55, 56, 60, 66, 70, 77, 84, 88, 105, 110, 120, 132, 140, 154, 165, 168, 210, 220, 231, 264, 280, 308, 330, 385, 420, 440, 462, 616, 660, 770, 840, 924, 1155, 1320, 1540, 1848, 2310, 3080, 4620, 9240. There are 64 integers that are factors of 9240. The greatest factor of 9240 is 9240.

4. How to Find the GCF of 9234 and 9240?

Answer:

Greatest Common Factor of 9234 and 9240 = 6

Step 1: Find the prime factorization of 9234

9234 = 2 x 3 x 3 x 3 x 3 x 3 x 19

Step 2: Find the prime factorization of 9240

9240 = 2 x 2 x 2 x 3 x 5 x 7 x 11

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 9234 and 9240 is 6