Greatest Common Factor of 15340 and 15345

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, 15345 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15340 and 15345 is 5.

GCF(15340,15345) = 5

GCF of 15340 and 15345

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

GCF of:
and

Greatest Common Factor of 15340 and 15345

GCF of 15340 and 15345 is 5

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 15345


3 15345
3 5115
5 1705
11 341
31 31
1

Prime factors of 15345 are 3,5,11,31. Prime factorization of 15345 in exponential form is:

15345 = 32×51×111×311

∴ So by taking common prime factors GCF of 15340 and 15345 is 5

Greatest Common Factor of 15340 and 15345 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 15345

List of positive integer factors of 15345 that divides 15345 without a remainder.

1,3,5,9,11,15,31,33,45,55,93,99,155,165,279,341,465,495,1023,1395,1705,3069,5115,15345

Greatest Common Factor

We found the factors and prime factorization of 15340 and 15345. The biggest common factor number is the GCF number.
So the greatest common factor 15340 and 15345 is 5.

Also check out the Least Common Multiple of 15340 and 15345

Properties of GCF 15340 and 15345

(i) The GCF of 15340 and 15345 is associative

GCF of 15340 and 15345 = GCF of 15345 and 15340

Related Greatest Common Factor of 15340

Related Greatest Common Factor of 15345

Frequently Asked Questions on GCF of 15340 and 15345

1. What is the GCF of 15340 and 15345?

Answer: GCF of 15340 and 15345 is 5.

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 15345?

Answer: Factors of 15345 are 1, 3, 5, 9, 11, 15, 31, 33, 45, 55, 93, 99, 155, 165, 279, 341, 465, 495, 1023, 1395, 1705, 3069, 5115, 15345. There are 24 integers that are factors of 15345. The greatest factor of 15345 is 15345.

4. How to Find the GCF of 15340 and 15345?

Answer:

Greatest Common Factor of 15340 and 15345 = 5

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 15345

15345 = 3 x 3 x 5 x 11 x 31

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 15340 and 15345 is 5