Greatest Common Factor of 4299 and 4305

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 4299, 4305 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4299 and 4305 is 3.

GCF(4299,4305) = 3

GCF of 4299 and 4305

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

GCF of:
and

Greatest Common Factor of 4299 and 4305

GCF of 4299 and 4305 is 3

Prime Factorization of 4299


3 4299
1433 1433
1

Prime factors of 4299 are 3,1433. Prime factorization of 4299 in exponential form is:

4299 = 31×14331

Prime Factorization of 4305


3 4305
5 1435
7 287
41 41
1

Prime factors of 4305 are 3,5,7,41. Prime factorization of 4305 in exponential form is:

4305 = 31×51×71×411

∴ So by taking common prime factors GCF of 4299 and 4305 is 3

Greatest Common Factor of 4299 and 4305 by matching factors method

Factors of 4299

List of positive integer factors of 4299 that divides 4299 without a remainder.

1,3,1433,4299

Factors of 4305

List of positive integer factors of 4305 that divides 4305 without a remainder.

1,3,5,7,15,21,35,41,105,123,205,287,615,861,1435,4305

Greatest Common Factor

We found the factors and prime factorization of 4299 and 4305. The biggest common factor number is the GCF number.
So the greatest common factor 4299 and 4305 is 3.

Also check out the Least Common Multiple of 4299 and 4305

Properties of GCF 4299 and 4305

(i) The GCF of 4299 and 4305 is associative

GCF of 4299 and 4305 = GCF of 4305 and 4299

Related Greatest Common Factor of 4299

Related Greatest Common Factor of 4305

Frequently Asked Questions on GCF of 4299 and 4305

1. What is the GCF of 4299 and 4305?

Answer: GCF of 4299 and 4305 is 3.

2. What are the Factors of 4299?

Answer: Factors of 4299 are 1, 3, 1433, 4299. There are 4 integers that are factors of 4299. The greatest factor of 4299 is 4299.

3. What are the Factors of 4305?

Answer: Factors of 4305 are 1, 3, 5, 7, 15, 21, 35, 41, 105, 123, 205, 287, 615, 861, 1435, 4305. There are 16 integers that are factors of 4305. The greatest factor of 4305 is 4305.

4. How to Find the GCF of 4299 and 4305?

Answer:

Greatest Common Factor of 4299 and 4305 = 3

Step 1: Find the prime factorization of 4299

4299 = 3 x 1433

Step 2: Find the prime factorization of 4305

4305 = 3 x 5 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 = 3

Step 4: Therefore, the greatest common factor of 4299 and 4305 is 3