Greatest Common Factor of 4299 and 4300

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, 4300 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4299 and 4300 is 1.

GCF(4299,4300) = 1

GCF of 4299 and 4300

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

GCF of:
and

Greatest Common Factor of 4299 and 4300

GCF of 4299 and 4300 is 1

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 4300


2 4300
2 2150
5 1075
5 215
43 43
1

Prime factors of 4300 are 2,5,43. Prime factorization of 4300 in exponential form is:

4300 = 22×52×431

∴ So by taking common prime factors GCF of 4299 and 4300 is 1

Greatest Common Factor of 4299 and 4300 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 4300

List of positive integer factors of 4300 that divides 4300 without a remainder.

1,2,4,5,10,20,25,43,50,86,100,172,215,430,860,1075,2150,4300

Greatest Common Factor

We found the factors and prime factorization of 4299 and 4300. The biggest common factor number is the GCF number.
So the greatest common factor 4299 and 4300 is 1.

Also check out the Least Common Multiple of 4299 and 4300

Properties of GCF 4299 and 4300

(i) The GCF of 4299 and 4300 is associative

GCF of 4299 and 4300 = GCF of 4300 and 4299

Frequently Asked Questions on GCF of 4299 and 4300

1. What is the GCF of 4299 and 4300?

Answer: GCF of 4299 and 4300 is 1.

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 4300?

Answer: Factors of 4300 are 1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 172, 215, 430, 860, 1075, 2150, 4300. There are 18 integers that are factors of 4300. The greatest factor of 4300 is 4300.

4. How to Find the GCF of 4299 and 4300?

Answer:

Greatest Common Factor of 4299 and 4300 = 1

Step 1: Find the prime factorization of 4299

4299 = 3 x 1433

Step 2: Find the prime factorization of 4300

4300 = 2 x 2 x 5 x 5 x 43

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 4299 and 4300 is 1