Greatest Common Factor of 7336 and 7344

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 7336, 7344 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7336 and 7344 is 8.

GCF(7336,7344) = 8

GCF of 7336 and 7344

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

GCF of:
and

Greatest Common Factor of 7336 and 7344

GCF of 7336 and 7344 is 8

Prime Factorization of 7336


2 7336
2 3668
2 1834
7 917
131 131
1

Prime factors of 7336 are 2,7,131. Prime factorization of 7336 in exponential form is:

7336 = 23×71×1311

Prime Factorization of 7344


2 7344
2 3672
2 1836
2 918
3 459
3 153
3 51
17 17
1

Prime factors of 7344 are 2,3,17. Prime factorization of 7344 in exponential form is:

7344 = 24×33×171

∴ So by taking common prime factors GCF of 7336 and 7344 is 8

Greatest Common Factor of 7336 and 7344 by matching factors method

Factors of 7336

List of positive integer factors of 7336 that divides 7336 without a remainder.

1,2,4,7,8,14,28,56,131,262,524,917,1048,1834,3668,7336

Factors of 7344

List of positive integer factors of 7344 that divides 7344 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,27,34,36,48,51,54,68,72,102,108,136,144,153,204,216,272,306,408,432,459,612,816,918,1224,1836,2448,3672,7344

Greatest Common Factor

We found the factors and prime factorization of 7336 and 7344. The biggest common factor number is the GCF number.
So the greatest common factor 7336 and 7344 is 8.

Also check out the Least Common Multiple of 7336 and 7344

Properties of GCF 7336 and 7344

(i) The GCF of 7336 and 7344 is associative

GCF of 7336 and 7344 = GCF of 7344 and 7336

Related Greatest Common Factor of 7336

Related Greatest Common Factor of 7344

Frequently Asked Questions on GCF of 7336 and 7344

1. What is the GCF of 7336 and 7344?

Answer: GCF of 7336 and 7344 is 8.

2. What are the Factors of 7336?

Answer: Factors of 7336 are 1, 2, 4, 7, 8, 14, 28, 56, 131, 262, 524, 917, 1048, 1834, 3668, 7336. There are 16 integers that are factors of 7336. The greatest factor of 7336 is 7336.

3. What are the Factors of 7344?

Answer: Factors of 7344 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 102, 108, 136, 144, 153, 204, 216, 272, 306, 408, 432, 459, 612, 816, 918, 1224, 1836, 2448, 3672, 7344. There are 40 integers that are factors of 7344. The greatest factor of 7344 is 7344.

4. How to Find the GCF of 7336 and 7344?

Answer:

Greatest Common Factor of 7336 and 7344 = 8

Step 1: Find the prime factorization of 7336

7336 = 2 x 2 x 2 x 7 x 131

Step 2: Find the prime factorization of 7344

7344 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 17

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7336 and 7344 is 8