Greatest Common Factor of 2299 and 2307

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 2299, 2307 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2299 and 2307 is 1.

GCF(2299,2307) = 1

GCF of 2299 and 2307

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

GCF of:
and

Greatest Common Factor of 2299 and 2307

GCF of 2299 and 2307 is 1

Prime Factorization of 2299


11 2299
11 209
19 19
1

Prime factors of 2299 are 11,19. Prime factorization of 2299 in exponential form is:

2299 = 112×191

Prime Factorization of 2307


3 2307
769 769
1

Prime factors of 2307 are 3,769. Prime factorization of 2307 in exponential form is:

2307 = 31×7691

∴ So by taking common prime factors GCF of 2299 and 2307 is 1

Greatest Common Factor of 2299 and 2307 by matching factors method

Factors of 2299

List of positive integer factors of 2299 that divides 2299 without a remainder.

1,11,19,121,209,2299

Factors of 2307

List of positive integer factors of 2307 that divides 2307 without a remainder.

1,3,769,2307

Greatest Common Factor

We found the factors and prime factorization of 2299 and 2307. The biggest common factor number is the GCF number.
So the greatest common factor 2299 and 2307 is 1.

Also check out the Least Common Multiple of 2299 and 2307

Properties of GCF 2299 and 2307

(i) The GCF of 2299 and 2307 is associative

GCF of 2299 and 2307 = GCF of 2307 and 2299

Related Greatest Common Factor of 2299

Related Greatest Common Factor of 2307

Frequently Asked Questions on GCF of 2299 and 2307

1. What is the GCF of 2299 and 2307?

Answer: GCF of 2299 and 2307 is 1.

2. What are the Factors of 2299?

Answer: Factors of 2299 are 1, 11, 19, 121, 209, 2299. There are 6 integers that are factors of 2299. The greatest factor of 2299 is 2299.

3. What are the Factors of 2307?

Answer: Factors of 2307 are 1, 3, 769, 2307. There are 4 integers that are factors of 2307. The greatest factor of 2307 is 2307.

4. How to Find the GCF of 2299 and 2307?

Answer:

Greatest Common Factor of 2299 and 2307 = 1

Step 1: Find the prime factorization of 2299

2299 = 11 x 11 x 19

Step 2: Find the prime factorization of 2307

2307 = 3 x 769

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2299 and 2307 is 1