Greatest Common Factor of 7322 and 7328

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 7322, 7328 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7322 and 7328 is 2.

GCF(7322,7328) = 2

GCF of 7322 and 7328

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

GCF of:
and

Greatest Common Factor of 7322 and 7328

GCF of 7322 and 7328 is 2

Prime Factorization of 7322


2 7322
7 3661
523 523
1

Prime factors of 7322 are 2,7,523. Prime factorization of 7322 in exponential form is:

7322 = 21×71×5231

Prime Factorization of 7328


2 7328
2 3664
2 1832
2 916
2 458
229 229
1

Prime factors of 7328 are 2,229. Prime factorization of 7328 in exponential form is:

7328 = 25×2291

∴ So by taking common prime factors GCF of 7322 and 7328 is 2

Greatest Common Factor of 7322 and 7328 by matching factors method

Factors of 7322

List of positive integer factors of 7322 that divides 7322 without a remainder.

1,2,7,14,523,1046,3661,7322

Factors of 7328

List of positive integer factors of 7328 that divides 7328 without a remainder.

1,2,4,8,16,32,229,458,916,1832,3664,7328

Greatest Common Factor

We found the factors and prime factorization of 7322 and 7328. The biggest common factor number is the GCF number.
So the greatest common factor 7322 and 7328 is 2.

Also check out the Least Common Multiple of 7322 and 7328

Properties of GCF 7322 and 7328

(i) The GCF of 7322 and 7328 is associative

GCF of 7322 and 7328 = GCF of 7328 and 7322

Related Greatest Common Factor of 7322

Related Greatest Common Factor of 7328

Frequently Asked Questions on GCF of 7322 and 7328

1. What is the GCF of 7322 and 7328?

Answer: GCF of 7322 and 7328 is 2.

2. What are the Factors of 7322?

Answer: Factors of 7322 are 1, 2, 7, 14, 523, 1046, 3661, 7322. There are 8 integers that are factors of 7322. The greatest factor of 7322 is 7322.

3. What are the Factors of 7328?

Answer: Factors of 7328 are 1, 2, 4, 8, 16, 32, 229, 458, 916, 1832, 3664, 7328. There are 12 integers that are factors of 7328. The greatest factor of 7328 is 7328.

4. How to Find the GCF of 7322 and 7328?

Answer:

Greatest Common Factor of 7322 and 7328 = 2

Step 1: Find the prime factorization of 7322

7322 = 2 x 7 x 523

Step 2: Find the prime factorization of 7328

7328 = 2 x 2 x 2 x 2 x 2 x 229

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7322 and 7328 is 2