Greatest Common Factor of 17340 and 17347

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, 17347 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17340 and 17347 is 1.

GCF(17340,17347) = 1

GCF of 17340 and 17347

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

GCF of:
and

Greatest Common Factor of 17340 and 17347

GCF of 17340 and 17347 is 1

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 17347


11 17347
19 1577
83 83
1

Prime factors of 17347 are 11,19,83. Prime factorization of 17347 in exponential form is:

17347 = 111×191×831

∴ So by taking common prime factors GCF of 17340 and 17347 is 1

Greatest Common Factor of 17340 and 17347 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 17347

List of positive integer factors of 17347 that divides 17347 without a remainder.

1,11,19,83,209,913,1577,17347

Greatest Common Factor

We found the factors and prime factorization of 17340 and 17347. The biggest common factor number is the GCF number.
So the greatest common factor 17340 and 17347 is 1.

Also check out the Least Common Multiple of 17340 and 17347

Properties of GCF 17340 and 17347

(i) The GCF of 17340 and 17347 is associative

GCF of 17340 and 17347 = GCF of 17347 and 17340

Related Greatest Common Factor of 17340

Related Greatest Common Factor of 17347

Frequently Asked Questions on GCF of 17340 and 17347

1. What is the GCF of 17340 and 17347?

Answer: GCF of 17340 and 17347 is 1.

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 17347?

Answer: Factors of 17347 are 1, 11, 19, 83, 209, 913, 1577, 17347. There are 8 integers that are factors of 17347. The greatest factor of 17347 is 17347.

4. How to Find the GCF of 17340 and 17347?

Answer:

Greatest Common Factor of 17340 and 17347 = 1

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 17347

17347 = 11 x 19 x 83

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 17340 and 17347 is 1