Greatest Common Factor of 17340 and 17346

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, 17346 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17340 and 17346 is 6.

GCF(17340,17346) = 6

GCF of 17340 and 17346

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

GCF of:
and

Greatest Common Factor of 17340 and 17346

GCF of 17340 and 17346 is 6

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 17346


2 17346
3 8673
7 2891
7 413
59 59
1

Prime factors of 17346 are 2,3,7,59. Prime factorization of 17346 in exponential form is:

17346 = 21×31×72×591

∴ So by taking common prime factors GCF of 17340 and 17346 is 6

Greatest Common Factor of 17340 and 17346 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 17346

List of positive integer factors of 17346 that divides 17346 without a remainder.

1,2,3,6,7,14,21,42,49,59,98,118,147,177,294,354,413,826,1239,2478,2891,5782,8673,17346

Greatest Common Factor

We found the factors and prime factorization of 17340 and 17346. The biggest common factor number is the GCF number.
So the greatest common factor 17340 and 17346 is 6.

Also check out the Least Common Multiple of 17340 and 17346

Properties of GCF 17340 and 17346

(i) The GCF of 17340 and 17346 is associative

GCF of 17340 and 17346 = GCF of 17346 and 17340

Related Greatest Common Factor of 17340

Related Greatest Common Factor of 17346

Frequently Asked Questions on GCF of 17340 and 17346

1. What is the GCF of 17340 and 17346?

Answer: GCF of 17340 and 17346 is 6.

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 17346?

Answer: Factors of 17346 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 59, 98, 118, 147, 177, 294, 354, 413, 826, 1239, 2478, 2891, 5782, 8673, 17346. There are 24 integers that are factors of 17346. The greatest factor of 17346 is 17346.

4. How to Find the GCF of 17340 and 17346?

Answer:

Greatest Common Factor of 17340 and 17346 = 6

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 17346

17346 = 2 x 3 x 7 x 7 x 59

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 17340 and 17346 is 6