Greatest Common Factor of 7344 and 7345

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 7344, 7345 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7344 and 7345 is 1.

GCF(7344,7345) = 1

GCF of 7344 and 7345

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

GCF of:
and

Greatest Common Factor of 7344 and 7345

GCF of 7344 and 7345 is 1

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

Prime Factorization of 7345


5 7345
13 1469
113 113
1

Prime factors of 7345 are 5,13,113. Prime factorization of 7345 in exponential form is:

7345 = 51×131×1131

∴ So by taking common prime factors GCF of 7344 and 7345 is 1

Greatest Common Factor of 7344 and 7345 by matching factors method

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

Factors of 7345

List of positive integer factors of 7345 that divides 7345 without a remainder.

1,5,13,65,113,565,1469,7345

Greatest Common Factor

We found the factors and prime factorization of 7344 and 7345. The biggest common factor number is the GCF number.
So the greatest common factor 7344 and 7345 is 1.

Also check out the Least Common Multiple of 7344 and 7345

Properties of GCF 7344 and 7345

(i) The GCF of 7344 and 7345 is associative

GCF of 7344 and 7345 = GCF of 7345 and 7344

Related Greatest Common Factor of 7344

Related Greatest Common Factor of 7345

Frequently Asked Questions on GCF of 7344 and 7345

1. What is the GCF of 7344 and 7345?

Answer: GCF of 7344 and 7345 is 1.

2. 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.

3. What are the Factors of 7345?

Answer: Factors of 7345 are 1, 5, 13, 65, 113, 565, 1469, 7345. There are 8 integers that are factors of 7345. The greatest factor of 7345 is 7345.

4. How to Find the GCF of 7344 and 7345?

Answer:

Greatest Common Factor of 7344 and 7345 = 1

Step 1: Find the prime factorization of 7344

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

Step 2: Find the prime factorization of 7345

7345 = 5 x 13 x 113

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 7344 and 7345 is 1