Greatest Common Factor of 9289 and 9296

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 9289, 9296 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9289 and 9296 is 7.

GCF(9289,9296) = 7

GCF of 9289 and 9296

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

GCF of:
and

Greatest Common Factor of 9289 and 9296

GCF of 9289 and 9296 is 7

Prime Factorization of 9289


7 9289
1327 1327
1

Prime factors of 9289 are 7,1327. Prime factorization of 9289 in exponential form is:

9289 = 71×13271

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

∴ So by taking common prime factors GCF of 9289 and 9296 is 7

Greatest Common Factor of 9289 and 9296 by matching factors method

Factors of 9289

List of positive integer factors of 9289 that divides 9289 without a remainder.

1,7,1327,9289

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

Greatest Common Factor

We found the factors and prime factorization of 9289 and 9296. The biggest common factor number is the GCF number.
So the greatest common factor 9289 and 9296 is 7.

Also check out the Least Common Multiple of 9289 and 9296

Properties of GCF 9289 and 9296

(i) The GCF of 9289 and 9296 is associative

GCF of 9289 and 9296 = GCF of 9296 and 9289

Related Greatest Common Factor of 9289

Related Greatest Common Factor of 9296

Frequently Asked Questions on GCF of 9289 and 9296

1. What is the GCF of 9289 and 9296?

Answer: GCF of 9289 and 9296 is 7.

2. What are the Factors of 9289?

Answer: Factors of 9289 are 1, 7, 1327, 9289. There are 4 integers that are factors of 9289. The greatest factor of 9289 is 9289.

3. 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.

4. How to Find the GCF of 9289 and 9296?

Answer:

Greatest Common Factor of 9289 and 9296 = 7

Step 1: Find the prime factorization of 9289

9289 = 7 x 1327

Step 2: Find the prime factorization of 9296

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

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 9289 and 9296 is 7