Greatest Common Factor of 9240 and 9241

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, 9241 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9240 and 9241 is 1.

GCF(9240,9241) = 1

GCF of 9240 and 9241

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

GCF of:
and

Greatest Common Factor of 9240 and 9241

GCF of 9240 and 9241 is 1

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 9241


9241 9241
1

Prime factors of 9241 are 9241. Prime factorization of 9241 in exponential form is:

9241 = 92411

∴ So by taking common prime factors GCF of 9240 and 9241 is 1

Greatest Common Factor of 9240 and 9241 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 9241

List of positive integer factors of 9241 that divides 9241 without a remainder.

1,9241

Greatest Common Factor

We found the factors and prime factorization of 9240 and 9241. The biggest common factor number is the GCF number.
So the greatest common factor 9240 and 9241 is 1.

Also check out the Least Common Multiple of 9240 and 9241

Properties of GCF 9240 and 9241

(i) The GCF of 9240 and 9241 is associative

GCF of 9240 and 9241 = GCF of 9241 and 9240

Related Greatest Common Factor of 9240

Related Greatest Common Factor of 9241

Frequently Asked Questions on GCF of 9240 and 9241

1. What is the GCF of 9240 and 9241?

Answer: GCF of 9240 and 9241 is 1.

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 9241?

Answer: Factors of 9241 are 1, 9241. There are 2 integers that are factors of 9241. The greatest factor of 9241 is 9241.

4. How to Find the GCF of 9240 and 9241?

Answer:

Greatest Common Factor of 9240 and 9241 = 1

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 9241

9241 = 9241

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 9240 and 9241 is 1