Greatest Common Factor of 17334 and 17340

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 17334, 17340 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17334 and 17340 is 6.

GCF(17334,17340) = 6

GCF of 17334 and 17340

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

GCF of:
and

Greatest Common Factor of 17334 and 17340

GCF of 17334 and 17340 is 6

Prime Factorization of 17334


2 17334
3 8667
3 2889
3 963
3 321
107 107
1

Prime factors of 17334 are 2,3,107. Prime factorization of 17334 in exponential form is:

17334 = 21×34×1071

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

∴ So by taking common prime factors GCF of 17334 and 17340 is 6

Greatest Common Factor of 17334 and 17340 by matching factors method

Factors of 17334

List of positive integer factors of 17334 that divides 17334 without a remainder.

1,2,3,6,9,18,27,54,81,107,162,214,321,642,963,1926,2889,5778,8667,17334

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

Greatest Common Factor

We found the factors and prime factorization of 17334 and 17340. The biggest common factor number is the GCF number.
So the greatest common factor 17334 and 17340 is 6.

Also check out the Least Common Multiple of 17334 and 17340

Properties of GCF 17334 and 17340

(i) The GCF of 17334 and 17340 is associative

GCF of 17334 and 17340 = GCF of 17340 and 17334

Related Greatest Common Factor of 17334

Related Greatest Common Factor of 17340

Frequently Asked Questions on GCF of 17334 and 17340

1. What is the GCF of 17334 and 17340?

Answer: GCF of 17334 and 17340 is 6.

2. What are the Factors of 17334?

Answer: Factors of 17334 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 107, 162, 214, 321, 642, 963, 1926, 2889, 5778, 8667, 17334. There are 20 integers that are factors of 17334. The greatest factor of 17334 is 17334.

3. 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.

4. How to Find the GCF of 17334 and 17340?

Answer:

Greatest Common Factor of 17334 and 17340 = 6

Step 1: Find the prime factorization of 17334

17334 = 2 x 3 x 3 x 3 x 3 x 107

Step 2: Find the prime factorization of 17340

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 17334 and 17340 is 6