Greatest Common Factor of 17340 and 17344

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 17340, 17344 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17340 and 17344 is 4.

GCF(17340,17344) = 4

GCF of 17340 and 17344

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

GCF of:
and

Greatest Common Factor of 17340 and 17344

GCF of 17340 and 17344 is 4

Prime Factorization of 17340


2 17340
2 8670
3 4335
5 1445
17 289
17 17
1

Prime factors of 17340 are 2,3,5,17. Prime factorization of 17340 in exponential form is:

17340 = 22×31×51×172

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

∴ So by taking common prime factors GCF of 17340 and 17344 is 4

Greatest Common Factor of 17340 and 17344 by matching factors method

Factors of 17340

List of positive integer factors of 17340 that divides 17340 without a remainder.

1,2,3,4,5,6,10,12,15,17,20,30,34,51,60,68,85,102,170,204,255,289,340,510,578,867,1020,1156,1445,1734,2890,3468,4335,5780,8670,17340

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

Greatest Common Factor

We found the factors and prime factorization of 17340 and 17344. The biggest common factor number is the GCF number.
So the greatest common factor 17340 and 17344 is 4.

Also check out the Least Common Multiple of 17340 and 17344

Properties of GCF 17340 and 17344

(i) The GCF of 17340 and 17344 is associative

GCF of 17340 and 17344 = GCF of 17344 and 17340

Related Greatest Common Factor of 17340

Related Greatest Common Factor of 17344

Frequently Asked Questions on GCF of 17340 and 17344

1. What is the GCF of 17340 and 17344?

Answer: GCF of 17340 and 17344 is 4.

2. What are the Factors of 17340?

Answer: Factors of 17340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 289, 340, 510, 578, 867, 1020, 1156, 1445, 1734, 2890, 3468, 4335, 5780, 8670, 17340. There are 36 integers that are factors of 17340. The greatest factor of 17340 is 17340.

3. 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.

4. How to Find the GCF of 17340 and 17344?

Answer:

Greatest Common Factor of 17340 and 17344 = 4

Step 1: Find the prime factorization of 17340

17340 = 2 x 2 x 3 x 5 x 17 x 17

Step 2: Find the prime factorization of 17344

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 17340 and 17344 is 4