Greatest Common Factor of 2296 and 2303

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 2296, 2303 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2296 and 2303 is 7.

GCF(2296,2303) = 7

GCF of 2296 and 2303

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

GCF of:
and

Greatest Common Factor of 2296 and 2303

GCF of 2296 and 2303 is 7

Prime Factorization of 2296


2 2296
2 1148
2 574
7 287
41 41
1

Prime factors of 2296 are 2,7,41. Prime factorization of 2296 in exponential form is:

2296 = 23×71×411

Prime Factorization of 2303


7 2303
7 329
47 47
1

Prime factors of 2303 are 7,47. Prime factorization of 2303 in exponential form is:

2303 = 72×471

∴ So by taking common prime factors GCF of 2296 and 2303 is 7

Greatest Common Factor of 2296 and 2303 by matching factors method

Factors of 2296

List of positive integer factors of 2296 that divides 2296 without a remainder.

1,2,4,7,8,14,28,41,56,82,164,287,328,574,1148,2296

Factors of 2303

List of positive integer factors of 2303 that divides 2303 without a remainder.

1,7,47,49,329,2303

Greatest Common Factor

We found the factors and prime factorization of 2296 and 2303. The biggest common factor number is the GCF number.
So the greatest common factor 2296 and 2303 is 7.

Also check out the Least Common Multiple of 2296 and 2303

Properties of GCF 2296 and 2303

(i) The GCF of 2296 and 2303 is associative

GCF of 2296 and 2303 = GCF of 2303 and 2296

Related Greatest Common Factor of 2296

Related Greatest Common Factor of 2303

Frequently Asked Questions on GCF of 2296 and 2303

1. What is the GCF of 2296 and 2303?

Answer: GCF of 2296 and 2303 is 7.

2. What are the Factors of 2296?

Answer: Factors of 2296 are 1, 2, 4, 7, 8, 14, 28, 41, 56, 82, 164, 287, 328, 574, 1148, 2296. There are 16 integers that are factors of 2296. The greatest factor of 2296 is 2296.

3. What are the Factors of 2303?

Answer: Factors of 2303 are 1, 7, 47, 49, 329, 2303. There are 6 integers that are factors of 2303. The greatest factor of 2303 is 2303.

4. How to Find the GCF of 2296 and 2303?

Answer:

Greatest Common Factor of 2296 and 2303 = 7

Step 1: Find the prime factorization of 2296

2296 = 2 x 2 x 2 x 7 x 41

Step 2: Find the prime factorization of 2303

2303 = 7 x 7 x 47

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 2296 and 2303 is 7