Greatest Common Factor of 7339 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 7339, 7344 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7339 and 7344 is 1.

GCF(7339,7344) = 1

GCF of 7339 and 7344

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

GCF of:
and

Greatest Common Factor of 7339 and 7344

GCF of 7339 and 7344 is 1

Prime Factorization of 7339


41 7339
179 179
1

Prime factors of 7339 are 41,179. Prime factorization of 7339 in exponential form is:

7339 = 411×1791

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 7339 and 7344 is 1

Greatest Common Factor of 7339 and 7344 by matching factors method

Factors of 7339

List of positive integer factors of 7339 that divides 7339 without a remainder.

1,41,179,7339

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 7339 and 7344. The biggest common factor number is the GCF number.
So the greatest common factor 7339 and 7344 is 1.

Also check out the Least Common Multiple of 7339 and 7344

Properties of GCF 7339 and 7344

(i) The GCF of 7339 and 7344 is associative

GCF of 7339 and 7344 = GCF of 7344 and 7339

Related Greatest Common Factor of 7339

Related Greatest Common Factor of 7344

Frequently Asked Questions on GCF of 7339 and 7344

1. What is the GCF of 7339 and 7344?

Answer: GCF of 7339 and 7344 is 1.

2. What are the Factors of 7339?

Answer: Factors of 7339 are 1, 41, 179, 7339. There are 4 integers that are factors of 7339. The greatest factor of 7339 is 7339.

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 7339 and 7344?

Answer:

Greatest Common Factor of 7339 and 7344 = 1

Step 1: Find the prime factorization of 7339

7339 = 41 x 179

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 = = 1

Step 4: Therefore, the greatest common factor of 7339 and 7344 is 1