Greatest Common Factor of 2259 and 2265

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 2259, 2265 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2259 and 2265 is 3.

GCF(2259,2265) = 3

GCF of 2259 and 2265

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

GCF of:
and

Greatest Common Factor of 2259 and 2265

GCF of 2259 and 2265 is 3

Prime Factorization of 2259


3 2259
3 753
251 251
1

Prime factors of 2259 are 3,251. Prime factorization of 2259 in exponential form is:

2259 = 32×2511

Prime Factorization of 2265


3 2265
5 755
151 151
1

Prime factors of 2265 are 3,5,151. Prime factorization of 2265 in exponential form is:

2265 = 31×51×1511

∴ So by taking common prime factors GCF of 2259 and 2265 is 3

Greatest Common Factor of 2259 and 2265 by matching factors method

Factors of 2259

List of positive integer factors of 2259 that divides 2259 without a remainder.

1,3,9,251,753,2259

Factors of 2265

List of positive integer factors of 2265 that divides 2265 without a remainder.

1,3,5,15,151,453,755,2265

Greatest Common Factor

We found the factors and prime factorization of 2259 and 2265. The biggest common factor number is the GCF number.
So the greatest common factor 2259 and 2265 is 3.

Also check out the Least Common Multiple of 2259 and 2265

Properties of GCF 2259 and 2265

(i) The GCF of 2259 and 2265 is associative

GCF of 2259 and 2265 = GCF of 2265 and 2259

Related Greatest Common Factor of 2259

Related Greatest Common Factor of 2265

Frequently Asked Questions on GCF of 2259 and 2265

1. What is the GCF of 2259 and 2265?

Answer: GCF of 2259 and 2265 is 3.

2. What are the Factors of 2259?

Answer: Factors of 2259 are 1, 3, 9, 251, 753, 2259. There are 6 integers that are factors of 2259. The greatest factor of 2259 is 2259.

3. What are the Factors of 2265?

Answer: Factors of 2265 are 1, 3, 5, 15, 151, 453, 755, 2265. There are 8 integers that are factors of 2265. The greatest factor of 2265 is 2265.

4. How to Find the GCF of 2259 and 2265?

Answer:

Greatest Common Factor of 2259 and 2265 = 3

Step 1: Find the prime factorization of 2259

2259 = 3 x 3 x 251

Step 2: Find the prime factorization of 2265

2265 = 3 x 5 x 151

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

GCF = 3

Step 4: Therefore, the greatest common factor of 2259 and 2265 is 3