Greatest Common Factor of 9296 and 9303

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 9296, 9303 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9296 and 9303 is 7.

GCF(9296,9303) = 7

GCF of 9296 and 9303

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

GCF of:
and

Greatest Common Factor of 9296 and 9303

GCF of 9296 and 9303 is 7

Prime Factorization of 9296


2 9296
2 4648
2 2324
2 1162
7 581
83 83
1

Prime factors of 9296 are 2,7,83. Prime factorization of 9296 in exponential form is:

9296 = 24×71×831

Prime Factorization of 9303


3 9303
7 3101
443 443
1

Prime factors of 9303 are 3,7,443. Prime factorization of 9303 in exponential form is:

9303 = 31×71×4431

∴ So by taking common prime factors GCF of 9296 and 9303 is 7

Greatest Common Factor of 9296 and 9303 by matching factors method

Factors of 9296

List of positive integer factors of 9296 that divides 9296 without a remainder.

1,2,4,7,8,14,16,28,56,83,112,166,332,581,664,1162,1328,2324,4648,9296

Factors of 9303

List of positive integer factors of 9303 that divides 9303 without a remainder.

1,3,7,21,443,1329,3101,9303

Greatest Common Factor

We found the factors and prime factorization of 9296 and 9303. The biggest common factor number is the GCF number.
So the greatest common factor 9296 and 9303 is 7.

Also check out the Least Common Multiple of 9296 and 9303

Properties of GCF 9296 and 9303

(i) The GCF of 9296 and 9303 is associative

GCF of 9296 and 9303 = GCF of 9303 and 9296

Related Greatest Common Factor of 9296

Related Greatest Common Factor of 9303

Frequently Asked Questions on GCF of 9296 and 9303

1. What is the GCF of 9296 and 9303?

Answer: GCF of 9296 and 9303 is 7.

2. What are the Factors of 9296?

Answer: Factors of 9296 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 83, 112, 166, 332, 581, 664, 1162, 1328, 2324, 4648, 9296. There are 20 integers that are factors of 9296. The greatest factor of 9296 is 9296.

3. What are the Factors of 9303?

Answer: Factors of 9303 are 1, 3, 7, 21, 443, 1329, 3101, 9303. There are 8 integers that are factors of 9303. The greatest factor of 9303 is 9303.

4. How to Find the GCF of 9296 and 9303?

Answer:

Greatest Common Factor of 9296 and 9303 = 7

Step 1: Find the prime factorization of 9296

9296 = 2 x 2 x 2 x 2 x 7 x 83

Step 2: Find the prime factorization of 9303

9303 = 3 x 7 x 443

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 9296 and 9303 is 7