Greatest Common Factor of 4302 and 4304

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 4302, 4304 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4302 and 4304 is 2.

GCF(4302,4304) = 2

GCF of 4302 and 4304

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

GCF of:
and

Greatest Common Factor of 4302 and 4304

GCF of 4302 and 4304 is 2

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

Prime Factorization of 4304


2 4304
2 2152
2 1076
2 538
269 269
1

Prime factors of 4304 are 2,269. Prime factorization of 4304 in exponential form is:

4304 = 24×2691

∴ So by taking common prime factors GCF of 4302 and 4304 is 2

Greatest Common Factor of 4302 and 4304 by matching factors method

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

Factors of 4304

List of positive integer factors of 4304 that divides 4304 without a remainder.

1,2,4,8,16,269,538,1076,2152,4304

Greatest Common Factor

We found the factors and prime factorization of 4302 and 4304. The biggest common factor number is the GCF number.
So the greatest common factor 4302 and 4304 is 2.

Also check out the Least Common Multiple of 4302 and 4304

Properties of GCF 4302 and 4304

(i) The GCF of 4302 and 4304 is associative

GCF of 4302 and 4304 = GCF of 4304 and 4302

Related Greatest Common Factor of 4302

Related Greatest Common Factor of 4304

Frequently Asked Questions on GCF of 4302 and 4304

1. What is the GCF of 4302 and 4304?

Answer: GCF of 4302 and 4304 is 2.

2. 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.

3. What are the Factors of 4304?

Answer: Factors of 4304 are 1, 2, 4, 8, 16, 269, 538, 1076, 2152, 4304. There are 10 integers that are factors of 4304. The greatest factor of 4304 is 4304.

4. How to Find the GCF of 4302 and 4304?

Answer:

Greatest Common Factor of 4302 and 4304 = 2

Step 1: Find the prime factorization of 4302

4302 = 2 x 3 x 3 x 239

Step 2: Find the prime factorization of 4304

4304 = 2 x 2 x 2 x 2 x 269

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4302 and 4304 is 2