Greatest Common Factor of 15314 and 15318

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 15314, 15318 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15314 and 15318 is 2.

GCF(15314,15318) = 2

GCF of 15314 and 15318

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

GCF of:
and

Greatest Common Factor of 15314 and 15318

GCF of 15314 and 15318 is 2

Prime Factorization of 15314


2 15314
13 7657
19 589
31 31
1

Prime factors of 15314 are 2,13,19,31. Prime factorization of 15314 in exponential form is:

15314 = 21×131×191×311

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

∴ So by taking common prime factors GCF of 15314 and 15318 is 2

Greatest Common Factor of 15314 and 15318 by matching factors method

Factors of 15314

List of positive integer factors of 15314 that divides 15314 without a remainder.

1,2,13,19,26,31,38,62,247,403,494,589,806,1178,7657,15314

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

Greatest Common Factor

We found the factors and prime factorization of 15314 and 15318. The biggest common factor number is the GCF number.
So the greatest common factor 15314 and 15318 is 2.

Also check out the Least Common Multiple of 15314 and 15318

Properties of GCF 15314 and 15318

(i) The GCF of 15314 and 15318 is associative

GCF of 15314 and 15318 = GCF of 15318 and 15314

Related Greatest Common Factor of 15314

Related Greatest Common Factor of 15318

Frequently Asked Questions on GCF of 15314 and 15318

1. What is the GCF of 15314 and 15318?

Answer: GCF of 15314 and 15318 is 2.

2. What are the Factors of 15314?

Answer: Factors of 15314 are 1, 2, 13, 19, 26, 31, 38, 62, 247, 403, 494, 589, 806, 1178, 7657, 15314. There are 16 integers that are factors of 15314. The greatest factor of 15314 is 15314.

3. 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.

4. How to Find the GCF of 15314 and 15318?

Answer:

Greatest Common Factor of 15314 and 15318 = 2

Step 1: Find the prime factorization of 15314

15314 = 2 x 13 x 19 x 31

Step 2: Find the prime factorization of 15318

15318 = 2 x 3 x 3 x 23 x 37

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 15314 and 15318 is 2