Greatest Common Factor of 2289 and 2296

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 2289, 2296 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2289 and 2296 is 7.

GCF(2289,2296) = 7

GCF of 2289 and 2296

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

GCF of:
and

Greatest Common Factor of 2289 and 2296

GCF of 2289 and 2296 is 7

Prime Factorization of 2289


3 2289
7 763
109 109
1

Prime factors of 2289 are 3,7,109. Prime factorization of 2289 in exponential form is:

2289 = 31×71×1091

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

∴ So by taking common prime factors GCF of 2289 and 2296 is 7

Greatest Common Factor of 2289 and 2296 by matching factors method

Factors of 2289

List of positive integer factors of 2289 that divides 2289 without a remainder.

1,3,7,21,109,327,763,2289

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

Greatest Common Factor

We found the factors and prime factorization of 2289 and 2296. The biggest common factor number is the GCF number.
So the greatest common factor 2289 and 2296 is 7.

Also check out the Least Common Multiple of 2289 and 2296

Properties of GCF 2289 and 2296

(i) The GCF of 2289 and 2296 is associative

GCF of 2289 and 2296 = GCF of 2296 and 2289

Related Greatest Common Factor of 2289

Related Greatest Common Factor of 2296

Frequently Asked Questions on GCF of 2289 and 2296

1. What is the GCF of 2289 and 2296?

Answer: GCF of 2289 and 2296 is 7.

2. What are the Factors of 2289?

Answer: Factors of 2289 are 1, 3, 7, 21, 109, 327, 763, 2289. There are 8 integers that are factors of 2289. The greatest factor of 2289 is 2289.

3. 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.

4. How to Find the GCF of 2289 and 2296?

Answer:

Greatest Common Factor of 2289 and 2296 = 7

Step 1: Find the prime factorization of 2289

2289 = 3 x 7 x 109

Step 2: Find the prime factorization of 2296

2296 = 2 x 2 x 2 x 7 x 41

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 2289 and 2296 is 7