Greatest Common Factor of 4296 and 4302

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, 4302 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4296 and 4302 is 6.

GCF(4296,4302) = 6

GCF of 4296 and 4302

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

GCF of:
and

Greatest Common Factor of 4296 and 4302

GCF of 4296 and 4302 is 6

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 4302


2 4302
3 2151
3 717
239 239
1

Prime factors of 4302 are 2,3,239. Prime factorization of 4302 in exponential form is:

4302 = 21×32×2391

∴ So by taking common prime factors GCF of 4296 and 4302 is 6

Greatest Common Factor of 4296 and 4302 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 4302

List of positive integer factors of 4302 that divides 4302 without a remainder.

1,2,3,6,9,18,239,478,717,1434,2151,4302

Greatest Common Factor

We found the factors and prime factorization of 4296 and 4302. The biggest common factor number is the GCF number.
So the greatest common factor 4296 and 4302 is 6.

Also check out the Least Common Multiple of 4296 and 4302

Properties of GCF 4296 and 4302

(i) The GCF of 4296 and 4302 is associative

GCF of 4296 and 4302 = GCF of 4302 and 4296

Related Greatest Common Factor of 4296

Related Greatest Common Factor of 4302

Frequently Asked Questions on GCF of 4296 and 4302

1. What is the GCF of 4296 and 4302?

Answer: GCF of 4296 and 4302 is 6.

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 4302?

Answer: Factors of 4302 are 1, 2, 3, 6, 9, 18, 239, 478, 717, 1434, 2151, 4302. There are 12 integers that are factors of 4302. The greatest factor of 4302 is 4302.

4. How to Find the GCF of 4296 and 4302?

Answer:

Greatest Common Factor of 4296 and 4302 = 6

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 4302

4302 = 2 x 3 x 3 x 239

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4296 and 4302 is 6