Greatest Common Factor of 9237 and 9243

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 9237, 9243 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9237 and 9243 is 3.

GCF(9237,9243) = 3

GCF of 9237 and 9243

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

GCF of:
and

Greatest Common Factor of 9237 and 9243

GCF of 9237 and 9243 is 3

Prime Factorization of 9237


3 9237
3079 3079
1

Prime factors of 9237 are 3,3079. Prime factorization of 9237 in exponential form is:

9237 = 31×30791

Prime Factorization of 9243


3 9243
3 3081
13 1027
79 79
1

Prime factors of 9243 are 3,13,79. Prime factorization of 9243 in exponential form is:

9243 = 32×131×791

∴ So by taking common prime factors GCF of 9237 and 9243 is 3

Greatest Common Factor of 9237 and 9243 by matching factors method

Factors of 9237

List of positive integer factors of 9237 that divides 9237 without a remainder.

1,3,3079,9237

Factors of 9243

List of positive integer factors of 9243 that divides 9243 without a remainder.

1,3,9,13,39,79,117,237,711,1027,3081,9243

Greatest Common Factor

We found the factors and prime factorization of 9237 and 9243. The biggest common factor number is the GCF number.
So the greatest common factor 9237 and 9243 is 3.

Also check out the Least Common Multiple of 9237 and 9243

Properties of GCF 9237 and 9243

(i) The GCF of 9237 and 9243 is associative

GCF of 9237 and 9243 = GCF of 9243 and 9237

Related Greatest Common Factor of 9237

Related Greatest Common Factor of 9243

Frequently Asked Questions on GCF of 9237 and 9243

1. What is the GCF of 9237 and 9243?

Answer: GCF of 9237 and 9243 is 3.

2. What are the Factors of 9237?

Answer: Factors of 9237 are 1, 3, 3079, 9237. There are 4 integers that are factors of 9237. The greatest factor of 9237 is 9237.

3. What are the Factors of 9243?

Answer: Factors of 9243 are 1, 3, 9, 13, 39, 79, 117, 237, 711, 1027, 3081, 9243. There are 12 integers that are factors of 9243. The greatest factor of 9243 is 9243.

4. How to Find the GCF of 9237 and 9243?

Answer:

Greatest Common Factor of 9237 and 9243 = 3

Step 1: Find the prime factorization of 9237

9237 = 3 x 3079

Step 2: Find the prime factorization of 9243

9243 = 3 x 3 x 13 x 79

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9237 and 9243 is 3