Greatest Common Factor of 4296 and 4299

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 4296, 4299 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4296 and 4299 is 3.

GCF(4296,4299) = 3

GCF of 4296 and 4299

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

GCF of:
and

Greatest Common Factor of 4296 and 4299

GCF of 4296 and 4299 is 3

Prime Factorization of 4296


2 4296
2 2148
2 1074
3 537
179 179
1

Prime factors of 4296 are 2,3,179. Prime factorization of 4296 in exponential form is:

4296 = 23×31×1791

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

∴ So by taking common prime factors GCF of 4296 and 4299 is 3

Greatest Common Factor of 4296 and 4299 by matching factors method

Factors of 4296

List of positive integer factors of 4296 that divides 4296 without a remainder.

1,2,3,4,6,8,12,24,179,358,537,716,1074,1432,2148,4296

Factors of 4299

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

1,3,1433,4299

Greatest Common Factor

We found the factors and prime factorization of 4296 and 4299. The biggest common factor number is the GCF number.
So the greatest common factor 4296 and 4299 is 3.

Also check out the Least Common Multiple of 4296 and 4299

Properties of GCF 4296 and 4299

(i) The GCF of 4296 and 4299 is associative

GCF of 4296 and 4299 = GCF of 4299 and 4296

Related Greatest Common Factor of 4296

Related Greatest Common Factor of 4299

Frequently Asked Questions on GCF of 4296 and 4299

1. What is the GCF of 4296 and 4299?

Answer: GCF of 4296 and 4299 is 3.

2. What are the Factors of 4296?

Answer: Factors of 4296 are 1, 2, 3, 4, 6, 8, 12, 24, 179, 358, 537, 716, 1074, 1432, 2148, 4296. There are 16 integers that are factors of 4296. The greatest factor of 4296 is 4296.

3. 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.

4. How to Find the GCF of 4296 and 4299?

Answer:

Greatest Common Factor of 4296 and 4299 = 3

Step 1: Find the prime factorization of 4296

4296 = 2 x 2 x 2 x 3 x 179

Step 2: Find the prime factorization of 4299

4299 = 3 x 1433

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 4296 and 4299 is 3