Greatest Common Factor of 7326 and 7334

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 7326, 7334 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7326 and 7334 is 2.

GCF(7326,7334) = 2

GCF of 7326 and 7334

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

GCF of:
and

Greatest Common Factor of 7326 and 7334

GCF of 7326 and 7334 is 2

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

Prime Factorization of 7334


2 7334
19 3667
193 193
1

Prime factors of 7334 are 2,19,193. Prime factorization of 7334 in exponential form is:

7334 = 21×191×1931

∴ So by taking common prime factors GCF of 7326 and 7334 is 2

Greatest Common Factor of 7326 and 7334 by matching factors method

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

Factors of 7334

List of positive integer factors of 7334 that divides 7334 without a remainder.

1,2,19,38,193,386,3667,7334

Greatest Common Factor

We found the factors and prime factorization of 7326 and 7334. The biggest common factor number is the GCF number.
So the greatest common factor 7326 and 7334 is 2.

Also check out the Least Common Multiple of 7326 and 7334

Properties of GCF 7326 and 7334

(i) The GCF of 7326 and 7334 is associative

GCF of 7326 and 7334 = GCF of 7334 and 7326

Related Greatest Common Factor of 7326

Related Greatest Common Factor of 7334

Frequently Asked Questions on GCF of 7326 and 7334

1. What is the GCF of 7326 and 7334?

Answer: GCF of 7326 and 7334 is 2.

2. 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.

3. What are the Factors of 7334?

Answer: Factors of 7334 are 1, 2, 19, 38, 193, 386, 3667, 7334. There are 8 integers that are factors of 7334. The greatest factor of 7334 is 7334.

4. How to Find the GCF of 7326 and 7334?

Answer:

Greatest Common Factor of 7326 and 7334 = 2

Step 1: Find the prime factorization of 7326

7326 = 2 x 3 x 3 x 11 x 37

Step 2: Find the prime factorization of 7334

7334 = 2 x 19 x 193

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 7326 and 7334 is 2