Greatest Common Factor of 15340 and 15346

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 15340, 15346 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15340 and 15346 is 2.

GCF(15340,15346) = 2

GCF of 15340 and 15346

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

GCF of:
and

Greatest Common Factor of 15340 and 15346

GCF of 15340 and 15346 is 2

Prime Factorization of 15340


2 15340
2 7670
5 3835
13 767
59 59
1

Prime factors of 15340 are 2,5,13,59. Prime factorization of 15340 in exponential form is:

15340 = 22×51×131×591

Prime Factorization of 15346


2 15346
7673 7673
1

Prime factors of 15346 are 2,7673. Prime factorization of 15346 in exponential form is:

15346 = 21×76731

∴ So by taking common prime factors GCF of 15340 and 15346 is 2

Greatest Common Factor of 15340 and 15346 by matching factors method

Factors of 15340

List of positive integer factors of 15340 that divides 15340 without a remainder.

1,2,4,5,10,13,20,26,52,59,65,118,130,236,260,295,590,767,1180,1534,3068,3835,7670,15340

Factors of 15346

List of positive integer factors of 15346 that divides 15346 without a remainder.

1,2,7673,15346

Greatest Common Factor

We found the factors and prime factorization of 15340 and 15346. The biggest common factor number is the GCF number.
So the greatest common factor 15340 and 15346 is 2.

Also check out the Least Common Multiple of 15340 and 15346

Properties of GCF 15340 and 15346

(i) The GCF of 15340 and 15346 is associative

GCF of 15340 and 15346 = GCF of 15346 and 15340

Related Greatest Common Factor of 15340

Related Greatest Common Factor of 15346

Frequently Asked Questions on GCF of 15340 and 15346

1. What is the GCF of 15340 and 15346?

Answer: GCF of 15340 and 15346 is 2.

2. What are the Factors of 15340?

Answer: Factors of 15340 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 59, 65, 118, 130, 236, 260, 295, 590, 767, 1180, 1534, 3068, 3835, 7670, 15340. There are 24 integers that are factors of 15340. The greatest factor of 15340 is 15340.

3. What are the Factors of 15346?

Answer: Factors of 15346 are 1, 2, 7673, 15346. There are 4 integers that are factors of 15346. The greatest factor of 15346 is 15346.

4. How to Find the GCF of 15340 and 15346?

Answer:

Greatest Common Factor of 15340 and 15346 = 2

Step 1: Find the prime factorization of 15340

15340 = 2 x 2 x 5 x 13 x 59

Step 2: Find the prime factorization of 15346

15346 = 2 x 7673

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 15340 and 15346 is 2