Greatest Common Factor of 7320 and 7326

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 7320, 7326 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7320 and 7326 is 6.

GCF(7320,7326) = 6

GCF of 7320 and 7326

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

GCF of:
and

Greatest Common Factor of 7320 and 7326

GCF of 7320 and 7326 is 6

Prime Factorization of 7320


2 7320
2 3660
2 1830
3 915
5 305
61 61
1

Prime factors of 7320 are 2,3,5,61. Prime factorization of 7320 in exponential form is:

7320 = 23×31×51×611

Prime Factorization of 7326


2 7326
3 3663
3 1221
11 407
37 37
1

Prime factors of 7326 are 2,3,11,37. Prime factorization of 7326 in exponential form is:

7326 = 21×32×111×371

∴ So by taking common prime factors GCF of 7320 and 7326 is 6

Greatest Common Factor of 7320 and 7326 by matching factors method

Factors of 7320

List of positive integer factors of 7320 that divides 7320 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,61,120,122,183,244,305,366,488,610,732,915,1220,1464,1830,2440,3660,7320

Factors of 7326

List of positive integer factors of 7326 that divides 7326 without a remainder.

1,2,3,6,9,11,18,22,33,37,66,74,99,111,198,222,333,407,666,814,1221,2442,3663,7326

Greatest Common Factor

We found the factors and prime factorization of 7320 and 7326. The biggest common factor number is the GCF number.
So the greatest common factor 7320 and 7326 is 6.

Also check out the Least Common Multiple of 7320 and 7326

Properties of GCF 7320 and 7326

(i) The GCF of 7320 and 7326 is associative

GCF of 7320 and 7326 = GCF of 7326 and 7320

Related Greatest Common Factor of 7320

Related Greatest Common Factor of 7326

Frequently Asked Questions on GCF of 7320 and 7326

1. What is the GCF of 7320 and 7326?

Answer: GCF of 7320 and 7326 is 6.

2. What are the Factors of 7320?

Answer: Factors of 7320 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 61, 120, 122, 183, 244, 305, 366, 488, 610, 732, 915, 1220, 1464, 1830, 2440, 3660, 7320. There are 32 integers that are factors of 7320. The greatest factor of 7320 is 7320.

3. What are the Factors of 7326?

Answer: Factors of 7326 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 37, 66, 74, 99, 111, 198, 222, 333, 407, 666, 814, 1221, 2442, 3663, 7326. There are 24 integers that are factors of 7326. The greatest factor of 7326 is 7326.

4. How to Find the GCF of 7320 and 7326?

Answer:

Greatest Common Factor of 7320 and 7326 = 6

Step 1: Find the prime factorization of 7320

7320 = 2 x 2 x 2 x 3 x 5 x 61

Step 2: Find the prime factorization of 7326

7326 = 2 x 3 x 3 x 11 x 37

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7320 and 7326 is 6