Greatest Common Factor of 1734 and 1741

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, 1741 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1734 and 1741 is 1.

GCF(1734,1741) = 1

GCF of 1734 and 1741

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

GCF of:
and

Greatest Common Factor of 1734 and 1741

GCF of 1734 and 1741 is 1

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 1741


1741 1741
1

Prime factors of 1741 are 1741. Prime factorization of 1741 in exponential form is:

1741 = 17411

∴ So by taking common prime factors GCF of 1734 and 1741 is 1

Greatest Common Factor of 1734 and 1741 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 1741

List of positive integer factors of 1741 that divides 1741 without a remainder.

1,1741

Greatest Common Factor

We found the factors and prime factorization of 1734 and 1741. The biggest common factor number is the GCF number.
So the greatest common factor 1734 and 1741 is 1.

Also check out the Least Common Multiple of 1734 and 1741

Properties of GCF 1734 and 1741

(i) The GCF of 1734 and 1741 is associative

GCF of 1734 and 1741 = GCF of 1741 and 1734

Related Greatest Common Factor of 1734

Related Greatest Common Factor of 1741

Frequently Asked Questions on GCF of 1734 and 1741

1. What is the GCF of 1734 and 1741?

Answer: GCF of 1734 and 1741 is 1.

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 1741?

Answer: Factors of 1741 are 1, 1741. There are 2 integers that are factors of 1741. The greatest factor of 1741 is 1741.

4. How to Find the GCF of 1734 and 1741?

Answer:

Greatest Common Factor of 1734 and 1741 = 1

Step 1: Find the prime factorization of 1734

1734 = 2 x 3 x 17 x 17

Step 2: Find the prime factorization of 1741

1741 = 1741

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 1734 and 1741 is 1