Greatest Common Factor of 15345 and 15350

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 15345, 15350 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15345 and 15350 is 5.

GCF(15345,15350) = 5

GCF of 15345 and 15350

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

GCF of:
and

Greatest Common Factor of 15345 and 15350

GCF of 15345 and 15350 is 5

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

Prime Factorization of 15350


2 15350
5 7675
5 1535
307 307
1

Prime factors of 15350 are 2,5,307. Prime factorization of 15350 in exponential form is:

15350 = 21×52×3071

∴ So by taking common prime factors GCF of 15345 and 15350 is 5

Greatest Common Factor of 15345 and 15350 by matching factors method

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

Factors of 15350

List of positive integer factors of 15350 that divides 15350 without a remainder.

1,2,5,10,25,50,307,614,1535,3070,7675,15350

Greatest Common Factor

We found the factors and prime factorization of 15345 and 15350. The biggest common factor number is the GCF number.
So the greatest common factor 15345 and 15350 is 5.

Also check out the Least Common Multiple of 15345 and 15350

Properties of GCF 15345 and 15350

(i) The GCF of 15345 and 15350 is associative

GCF of 15345 and 15350 = GCF of 15350 and 15345

Related Greatest Common Factor of 15345

Related Greatest Common Factor of 15350

Frequently Asked Questions on GCF of 15345 and 15350

1. What is the GCF of 15345 and 15350?

Answer: GCF of 15345 and 15350 is 5.

2. 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.

3. What are the Factors of 15350?

Answer: Factors of 15350 are 1, 2, 5, 10, 25, 50, 307, 614, 1535, 3070, 7675, 15350. There are 12 integers that are factors of 15350. The greatest factor of 15350 is 15350.

4. How to Find the GCF of 15345 and 15350?

Answer:

Greatest Common Factor of 15345 and 15350 = 5

Step 1: Find the prime factorization of 15345

15345 = 3 x 3 x 5 x 11 x 31

Step 2: Find the prime factorization of 15350

15350 = 2 x 5 x 5 x 307

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 15345 and 15350 is 5