Greatest Common Factor of 15318 and 15326

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 15318, 15326 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15318 and 15326 is 2.

GCF(15318,15326) = 2

GCF of 15318 and 15326

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

GCF of:
and

Greatest Common Factor of 15318 and 15326

GCF of 15318 and 15326 is 2

Prime Factorization of 15318


2 15318
3 7659
3 2553
23 851
37 37
1

Prime factors of 15318 are 2,3,23,37. Prime factorization of 15318 in exponential form is:

15318 = 21×32×231×371

Prime Factorization of 15326


2 15326
79 7663
97 97
1

Prime factors of 15326 are 2,79,97. Prime factorization of 15326 in exponential form is:

15326 = 21×791×971

∴ So by taking common prime factors GCF of 15318 and 15326 is 2

Greatest Common Factor of 15318 and 15326 by matching factors method

Factors of 15318

List of positive integer factors of 15318 that divides 15318 without a remainder.

1,2,3,6,9,18,23,37,46,69,74,111,138,207,222,333,414,666,851,1702,2553,5106,7659,15318

Factors of 15326

List of positive integer factors of 15326 that divides 15326 without a remainder.

1,2,79,97,158,194,7663,15326

Greatest Common Factor

We found the factors and prime factorization of 15318 and 15326. The biggest common factor number is the GCF number.
So the greatest common factor 15318 and 15326 is 2.

Also check out the Least Common Multiple of 15318 and 15326

Properties of GCF 15318 and 15326

(i) The GCF of 15318 and 15326 is associative

GCF of 15318 and 15326 = GCF of 15326 and 15318

Related Greatest Common Factor of 15318

Related Greatest Common Factor of 15326

Frequently Asked Questions on GCF of 15318 and 15326

1. What is the GCF of 15318 and 15326?

Answer: GCF of 15318 and 15326 is 2.

2. What are the Factors of 15318?

Answer: Factors of 15318 are 1, 2, 3, 6, 9, 18, 23, 37, 46, 69, 74, 111, 138, 207, 222, 333, 414, 666, 851, 1702, 2553, 5106, 7659, 15318. There are 24 integers that are factors of 15318. The greatest factor of 15318 is 15318.

3. What are the Factors of 15326?

Answer: Factors of 15326 are 1, 2, 79, 97, 158, 194, 7663, 15326. There are 8 integers that are factors of 15326. The greatest factor of 15326 is 15326.

4. How to Find the GCF of 15318 and 15326?

Answer:

Greatest Common Factor of 15318 and 15326 = 2

Step 1: Find the prime factorization of 15318

15318 = 2 x 3 x 3 x 23 x 37

Step 2: Find the prime factorization of 15326

15326 = 2 x 79 x 97

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 15318 and 15326 is 2