Greatest Common Factor of 14304 and 14308

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 14304, 14308 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 14304 and 14308 is 4.

GCF(14304,14308) = 4

GCF of 14304 and 14308

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

GCF of:
and

Greatest Common Factor of 14304 and 14308

GCF of 14304 and 14308 is 4

Prime Factorization of 14304


2 14304
2 7152
2 3576
2 1788
2 894
3 447
149 149
1

Prime factors of 14304 are 2,3,149. Prime factorization of 14304 in exponential form is:

14304 = 25×31×1491

Prime Factorization of 14308


2 14308
2 7154
7 3577
7 511
73 73
1

Prime factors of 14308 are 2,7,73. Prime factorization of 14308 in exponential form is:

14308 = 22×72×731

∴ So by taking common prime factors GCF of 14304 and 14308 is 4

Greatest Common Factor of 14304 and 14308 by matching factors method

Factors of 14304

List of positive integer factors of 14304 that divides 14304 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,149,298,447,596,894,1192,1788,2384,3576,4768,7152,14304

Factors of 14308

List of positive integer factors of 14308 that divides 14308 without a remainder.

1,2,4,7,14,28,49,73,98,146,196,292,511,1022,2044,3577,7154,14308

Greatest Common Factor

We found the factors and prime factorization of 14304 and 14308. The biggest common factor number is the GCF number.
So the greatest common factor 14304 and 14308 is 4.

Also check out the Least Common Multiple of 14304 and 14308

Properties of GCF 14304 and 14308

(i) The GCF of 14304 and 14308 is associative

GCF of 14304 and 14308 = GCF of 14308 and 14304

Related Greatest Common Factor of 14304

Related Greatest Common Factor of 14308

Frequently Asked Questions on GCF of 14304 and 14308

1. What is the GCF of 14304 and 14308?

Answer: GCF of 14304 and 14308 is 4.

2. What are the Factors of 14304?

Answer: Factors of 14304 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 149, 298, 447, 596, 894, 1192, 1788, 2384, 3576, 4768, 7152, 14304. There are 24 integers that are factors of 14304. The greatest factor of 14304 is 14304.

3. What are the Factors of 14308?

Answer: Factors of 14308 are 1, 2, 4, 7, 14, 28, 49, 73, 98, 146, 196, 292, 511, 1022, 2044, 3577, 7154, 14308. There are 18 integers that are factors of 14308. The greatest factor of 14308 is 14308.

4. How to Find the GCF of 14304 and 14308?

Answer:

Greatest Common Factor of 14304 and 14308 = 4

Step 1: Find the prime factorization of 14304

14304 = 2 x 2 x 2 x 2 x 2 x 3 x 149

Step 2: Find the prime factorization of 14308

14308 = 2 x 2 x 7 x 7 x 73

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 14304 and 14308 is 4