Greatest Common Factor of 9240 and 9245

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 9240, 9245 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9240 and 9245 is 5.

GCF(9240,9245) = 5

GCF of 9240 and 9245

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

GCF of:
and

Greatest Common Factor of 9240 and 9245

GCF of 9240 and 9245 is 5

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

Prime Factorization of 9245


5 9245
43 1849
43 43
1

Prime factors of 9245 are 5,43. Prime factorization of 9245 in exponential form is:

9245 = 51×432

∴ So by taking common prime factors GCF of 9240 and 9245 is 5

Greatest Common Factor of 9240 and 9245 by matching factors method

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

Factors of 9245

List of positive integer factors of 9245 that divides 9245 without a remainder.

1,5,43,215,1849,9245

Greatest Common Factor

We found the factors and prime factorization of 9240 and 9245. The biggest common factor number is the GCF number.
So the greatest common factor 9240 and 9245 is 5.

Also check out the Least Common Multiple of 9240 and 9245

Properties of GCF 9240 and 9245

(i) The GCF of 9240 and 9245 is associative

GCF of 9240 and 9245 = GCF of 9245 and 9240

Related Greatest Common Factor of 9240

Related Greatest Common Factor of 9245

Frequently Asked Questions on GCF of 9240 and 9245

1. What is the GCF of 9240 and 9245?

Answer: GCF of 9240 and 9245 is 5.

2. 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.

3. What are the Factors of 9245?

Answer: Factors of 9245 are 1, 5, 43, 215, 1849, 9245. There are 6 integers that are factors of 9245. The greatest factor of 9245 is 9245.

4. How to Find the GCF of 9240 and 9245?

Answer:

Greatest Common Factor of 9240 and 9245 = 5

Step 1: Find the prime factorization of 9240

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

Step 2: Find the prime factorization of 9245

9245 = 5 x 43 x 43

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 9240 and 9245 is 5