Greatest Common Factor of 1734 and 1740

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 1734, 1740 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1734 and 1740 is 6.

GCF(1734,1740) = 6

GCF of 1734 and 1740

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

GCF of:
and

Greatest Common Factor of 1734 and 1740

GCF of 1734 and 1740 is 6

Prime Factorization of 1734


2 1734
3 867
17 289
17 17
1

Prime factors of 1734 are 2,3,17. Prime factorization of 1734 in exponential form is:

1734 = 21×31×172

Prime Factorization of 1740


2 1740
2 870
3 435
5 145
29 29
1

Prime factors of 1740 are 2,3,5,29. Prime factorization of 1740 in exponential form is:

1740 = 22×31×51×291

∴ So by taking common prime factors GCF of 1734 and 1740 is 6

Greatest Common Factor of 1734 and 1740 by matching factors method

Factors of 1734

List of positive integer factors of 1734 that divides 1734 without a remainder.

1,2,3,6,17,34,51,102,289,578,867,1734

Factors of 1740

List of positive integer factors of 1740 that divides 1740 without a remainder.

1,2,3,4,5,6,10,12,15,20,29,30,58,60,87,116,145,174,290,348,435,580,870,1740

Greatest Common Factor

We found the factors and prime factorization of 1734 and 1740. The biggest common factor number is the GCF number.
So the greatest common factor 1734 and 1740 is 6.

Also check out the Least Common Multiple of 1734 and 1740

Properties of GCF 1734 and 1740

(i) The GCF of 1734 and 1740 is associative

GCF of 1734 and 1740 = GCF of 1740 and 1734

Related Greatest Common Factor of 1734

Related Greatest Common Factor of 1740

Frequently Asked Questions on GCF of 1734 and 1740

1. What is the GCF of 1734 and 1740?

Answer: GCF of 1734 and 1740 is 6.

2. What are the Factors of 1734?

Answer: Factors of 1734 are 1, 2, 3, 6, 17, 34, 51, 102, 289, 578, 867, 1734. There are 12 integers that are factors of 1734. The greatest factor of 1734 is 1734.

3. What are the Factors of 1740?

Answer: Factors of 1740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740. There are 24 integers that are factors of 1740. The greatest factor of 1740 is 1740.

4. How to Find the GCF of 1734 and 1740?

Answer:

Greatest Common Factor of 1734 and 1740 = 6

Step 1: Find the prime factorization of 1734

1734 = 2 x 3 x 17 x 17

Step 2: Find the prime factorization of 1740

1740 = 2 x 2 x 3 x 5 x 29

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 1734 and 1740 is 6