Greatest Common Factor of 7314 and 7322

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 7314, 7322 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7314 and 7322 is 2.

GCF(7314,7322) = 2

GCF of 7314 and 7322

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

GCF of:
and

Greatest Common Factor of 7314 and 7322

GCF of 7314 and 7322 is 2

Prime Factorization of 7314


2 7314
3 3657
23 1219
53 53
1

Prime factors of 7314 are 2,3,23,53. Prime factorization of 7314 in exponential form is:

7314 = 21×31×231×531

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

∴ So by taking common prime factors GCF of 7314 and 7322 is 2

Greatest Common Factor of 7314 and 7322 by matching factors method

Factors of 7314

List of positive integer factors of 7314 that divides 7314 without a remainder.

1,2,3,6,23,46,53,69,106,138,159,318,1219,2438,3657,7314

Factors of 7322

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

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

Greatest Common Factor

We found the factors and prime factorization of 7314 and 7322. The biggest common factor number is the GCF number.
So the greatest common factor 7314 and 7322 is 2.

Also check out the Least Common Multiple of 7314 and 7322

Properties of GCF 7314 and 7322

(i) The GCF of 7314 and 7322 is associative

GCF of 7314 and 7322 = GCF of 7322 and 7314

Related Greatest Common Factor of 7314

Related Greatest Common Factor of 7322

Frequently Asked Questions on GCF of 7314 and 7322

1. What is the GCF of 7314 and 7322?

Answer: GCF of 7314 and 7322 is 2.

2. What are the Factors of 7314?

Answer: Factors of 7314 are 1, 2, 3, 6, 23, 46, 53, 69, 106, 138, 159, 318, 1219, 2438, 3657, 7314. There are 16 integers that are factors of 7314. The greatest factor of 7314 is 7314.

3. 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.

4. How to Find the GCF of 7314 and 7322?

Answer:

Greatest Common Factor of 7314 and 7322 = 2

Step 1: Find the prime factorization of 7314

7314 = 2 x 3 x 23 x 53

Step 2: Find the prime factorization of 7322

7322 = 2 x 7 x 523

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 7314 and 7322 is 2