Greatest Common Factor of 9296 and 9304

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, 9304 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9296 and 9304 is 8.

GCF(9296,9304) = 8

GCF of 9296 and 9304

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

GCF of:
and

Greatest Common Factor of 9296 and 9304

GCF of 9296 and 9304 is 8

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 9304


2 9304
2 4652
2 2326
1163 1163
1

Prime factors of 9304 are 2,1163. Prime factorization of 9304 in exponential form is:

9304 = 23×11631

∴ So by taking common prime factors GCF of 9296 and 9304 is 8

Greatest Common Factor of 9296 and 9304 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 9304

List of positive integer factors of 9304 that divides 9304 without a remainder.

1,2,4,8,1163,2326,4652,9304

Greatest Common Factor

We found the factors and prime factorization of 9296 and 9304. The biggest common factor number is the GCF number.
So the greatest common factor 9296 and 9304 is 8.

Also check out the Least Common Multiple of 9296 and 9304

Properties of GCF 9296 and 9304

(i) The GCF of 9296 and 9304 is associative

GCF of 9296 and 9304 = GCF of 9304 and 9296

Related Greatest Common Factor of 9296

Related Greatest Common Factor of 9304

Frequently Asked Questions on GCF of 9296 and 9304

1. What is the GCF of 9296 and 9304?

Answer: GCF of 9296 and 9304 is 8.

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 9304?

Answer: Factors of 9304 are 1, 2, 4, 8, 1163, 2326, 4652, 9304. There are 8 integers that are factors of 9304. The greatest factor of 9304 is 9304.

4. How to Find the GCF of 9296 and 9304?

Answer:

Greatest Common Factor of 9296 and 9304 = 8

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 9304

9304 = 2 x 2 x 2 x 1163

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9296 and 9304 is 8