Greatest Common Factor of 17344 and 17349

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 17344, 17349 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17344 and 17349 is 1.

GCF(17344,17349) = 1

GCF of 17344 and 17349

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

GCF of:
and

Greatest Common Factor of 17344 and 17349

GCF of 17344 and 17349 is 1

Prime Factorization of 17344


2 17344
2 8672
2 4336
2 2168
2 1084
2 542
271 271
1

Prime factors of 17344 are 2,271. Prime factorization of 17344 in exponential form is:

17344 = 26×2711

Prime Factorization of 17349


3 17349
5783 5783
1

Prime factors of 17349 are 3,5783. Prime factorization of 17349 in exponential form is:

17349 = 31×57831

∴ So by taking common prime factors GCF of 17344 and 17349 is 1

Greatest Common Factor of 17344 and 17349 by matching factors method

Factors of 17344

List of positive integer factors of 17344 that divides 17344 without a remainder.

1,2,4,8,16,32,64,271,542,1084,2168,4336,8672,17344

Factors of 17349

List of positive integer factors of 17349 that divides 17349 without a remainder.

1,3,5783,17349

Greatest Common Factor

We found the factors and prime factorization of 17344 and 17349. The biggest common factor number is the GCF number.
So the greatest common factor 17344 and 17349 is 1.

Also check out the Least Common Multiple of 17344 and 17349

Properties of GCF 17344 and 17349

(i) The GCF of 17344 and 17349 is associative

GCF of 17344 and 17349 = GCF of 17349 and 17344

Related Greatest Common Factor of 17344

Related Greatest Common Factor of 17349

Frequently Asked Questions on GCF of 17344 and 17349

1. What is the GCF of 17344 and 17349?

Answer: GCF of 17344 and 17349 is 1.

2. What are the Factors of 17344?

Answer: Factors of 17344 are 1, 2, 4, 8, 16, 32, 64, 271, 542, 1084, 2168, 4336, 8672, 17344. There are 14 integers that are factors of 17344. The greatest factor of 17344 is 17344.

3. What are the Factors of 17349?

Answer: Factors of 17349 are 1, 3, 5783, 17349. There are 4 integers that are factors of 17349. The greatest factor of 17349 is 17349.

4. How to Find the GCF of 17344 and 17349?

Answer:

Greatest Common Factor of 17344 and 17349 = 1

Step 1: Find the prime factorization of 17344

17344 = 2 x 2 x 2 x 2 x 2 x 2 x 271

Step 2: Find the prime factorization of 17349

17349 = 3 x 5783

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 17344 and 17349 is 1