Greatest Common Factor of 4304 and 4308

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 4304, 4308 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4304 and 4308 is 4.

GCF(4304,4308) = 4

GCF of 4304 and 4308

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

GCF of:
and

Greatest Common Factor of 4304 and 4308

GCF of 4304 and 4308 is 4

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

Prime Factorization of 4308


2 4308
2 2154
3 1077
359 359
1

Prime factors of 4308 are 2,3,359. Prime factorization of 4308 in exponential form is:

4308 = 22×31×3591

∴ So by taking common prime factors GCF of 4304 and 4308 is 4

Greatest Common Factor of 4304 and 4308 by matching factors method

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

Factors of 4308

List of positive integer factors of 4308 that divides 4308 without a remainder.

1,2,3,4,6,12,359,718,1077,1436,2154,4308

Greatest Common Factor

We found the factors and prime factorization of 4304 and 4308. The biggest common factor number is the GCF number.
So the greatest common factor 4304 and 4308 is 4.

Also check out the Least Common Multiple of 4304 and 4308

Properties of GCF 4304 and 4308

(i) The GCF of 4304 and 4308 is associative

GCF of 4304 and 4308 = GCF of 4308 and 4304

Related Greatest Common Factor of 4304

Related Greatest Common Factor of 4308

Frequently Asked Questions on GCF of 4304 and 4308

1. What is the GCF of 4304 and 4308?

Answer: GCF of 4304 and 4308 is 4.

2. 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.

3. What are the Factors of 4308?

Answer: Factors of 4308 are 1, 2, 3, 4, 6, 12, 359, 718, 1077, 1436, 2154, 4308. There are 12 integers that are factors of 4308. The greatest factor of 4308 is 4308.

4. How to Find the GCF of 4304 and 4308?

Answer:

Greatest Common Factor of 4304 and 4308 = 4

Step 1: Find the prime factorization of 4304

4304 = 2 x 2 x 2 x 2 x 269

Step 2: Find the prime factorization of 4308

4308 = 2 x 2 x 3 x 359

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4304 and 4308 is 4