Greatest Common Factor of 7322 and 7330

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, 7330 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7322 and 7330 is 2.

GCF(7322,7330) = 2

GCF of 7322 and 7330

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

GCF of:
and

Greatest Common Factor of 7322 and 7330

GCF of 7322 and 7330 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 7330


2 7330
5 3665
733 733
1

Prime factors of 7330 are 2,5,733. Prime factorization of 7330 in exponential form is:

7330 = 21×51×7331

∴ So by taking common prime factors GCF of 7322 and 7330 is 2

Greatest Common Factor of 7322 and 7330 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 7330

List of positive integer factors of 7330 that divides 7330 without a remainder.

1,2,5,10,733,1466,3665,7330

Greatest Common Factor

We found the factors and prime factorization of 7322 and 7330. The biggest common factor number is the GCF number.
So the greatest common factor 7322 and 7330 is 2.

Also check out the Least Common Multiple of 7322 and 7330

Properties of GCF 7322 and 7330

(i) The GCF of 7322 and 7330 is associative

GCF of 7322 and 7330 = GCF of 7330 and 7322

Related Greatest Common Factor of 7322

Related Greatest Common Factor of 7330

Frequently Asked Questions on GCF of 7322 and 7330

1. What is the GCF of 7322 and 7330?

Answer: GCF of 7322 and 7330 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 7330?

Answer: Factors of 7330 are 1, 2, 5, 10, 733, 1466, 3665, 7330. There are 8 integers that are factors of 7330. The greatest factor of 7330 is 7330.

4. How to Find the GCF of 7322 and 7330?

Answer:

Greatest Common Factor of 7322 and 7330 = 2

Step 1: Find the prime factorization of 7322

7322 = 2 x 7 x 523

Step 2: Find the prime factorization of 7330

7330 = 2 x 5 x 733

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 7330 is 2