Greatest Common Factor of 9240 and 9247

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, 9247 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9240 and 9247 is 7.

GCF(9240,9247) = 7

GCF of 9240 and 9247

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

GCF of:
and

Greatest Common Factor of 9240 and 9247

GCF of 9240 and 9247 is 7

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 9247


7 9247
1321 1321
1

Prime factors of 9247 are 7,1321. Prime factorization of 9247 in exponential form is:

9247 = 71×13211

∴ So by taking common prime factors GCF of 9240 and 9247 is 7

Greatest Common Factor of 9240 and 9247 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 9247

List of positive integer factors of 9247 that divides 9247 without a remainder.

1,7,1321,9247

Greatest Common Factor

We found the factors and prime factorization of 9240 and 9247. The biggest common factor number is the GCF number.
So the greatest common factor 9240 and 9247 is 7.

Also check out the Least Common Multiple of 9240 and 9247

Properties of GCF 9240 and 9247

(i) The GCF of 9240 and 9247 is associative

GCF of 9240 and 9247 = GCF of 9247 and 9240

Related Greatest Common Factor of 9240

Related Greatest Common Factor of 9247

Frequently Asked Questions on GCF of 9240 and 9247

1. What is the GCF of 9240 and 9247?

Answer: GCF of 9240 and 9247 is 7.

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 9247?

Answer: Factors of 9247 are 1, 7, 1321, 9247. There are 4 integers that are factors of 9247. The greatest factor of 9247 is 9247.

4. How to Find the GCF of 9240 and 9247?

Answer:

Greatest Common Factor of 9240 and 9247 = 7

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 9247

9247 = 7 x 1321

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9240 and 9247 is 7