Greatest Common Factor of 2277 and 2283

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 2277, 2283 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2277 and 2283 is 3.

GCF(2277,2283) = 3

GCF of 2277 and 2283

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

GCF of:
and

Greatest Common Factor of 2277 and 2283

GCF of 2277 and 2283 is 3

Prime Factorization of 2277


3 2277
3 759
11 253
23 23
1

Prime factors of 2277 are 3,11,23. Prime factorization of 2277 in exponential form is:

2277 = 32×111×231

Prime Factorization of 2283


3 2283
761 761
1

Prime factors of 2283 are 3,761. Prime factorization of 2283 in exponential form is:

2283 = 31×7611

∴ So by taking common prime factors GCF of 2277 and 2283 is 3

Greatest Common Factor of 2277 and 2283 by matching factors method

Factors of 2277

List of positive integer factors of 2277 that divides 2277 without a remainder.

1,3,9,11,23,33,69,99,207,253,759,2277

Factors of 2283

List of positive integer factors of 2283 that divides 2283 without a remainder.

1,3,761,2283

Greatest Common Factor

We found the factors and prime factorization of 2277 and 2283. The biggest common factor number is the GCF number.
So the greatest common factor 2277 and 2283 is 3.

Also check out the Least Common Multiple of 2277 and 2283

Properties of GCF 2277 and 2283

(i) The GCF of 2277 and 2283 is associative

GCF of 2277 and 2283 = GCF of 2283 and 2277

Related Greatest Common Factor of 2277

Related Greatest Common Factor of 2283

Frequently Asked Questions on GCF of 2277 and 2283

1. What is the GCF of 2277 and 2283?

Answer: GCF of 2277 and 2283 is 3.

2. What are the Factors of 2277?

Answer: Factors of 2277 are 1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 759, 2277. There are 12 integers that are factors of 2277. The greatest factor of 2277 is 2277.

3. What are the Factors of 2283?

Answer: Factors of 2283 are 1, 3, 761, 2283. There are 4 integers that are factors of 2283. The greatest factor of 2283 is 2283.

4. How to Find the GCF of 2277 and 2283?

Answer:

Greatest Common Factor of 2277 and 2283 = 3

Step 1: Find the prime factorization of 2277

2277 = 3 x 3 x 11 x 23

Step 2: Find the prime factorization of 2283

2283 = 3 x 761

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 2277 and 2283 is 3