Greatest Common Factor of 1731 and 1734

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 1731, 1734 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1731 and 1734 is 3.

GCF(1731,1734) = 3

GCF of 1731 and 1734

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

GCF of:
and

Greatest Common Factor of 1731 and 1734

GCF of 1731 and 1734 is 3

Prime Factorization of 1731


3 1731
577 577
1

Prime factors of 1731 are 3,577. Prime factorization of 1731 in exponential form is:

1731 = 31×5771

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

∴ So by taking common prime factors GCF of 1731 and 1734 is 3

Greatest Common Factor of 1731 and 1734 by matching factors method

Factors of 1731

List of positive integer factors of 1731 that divides 1731 without a remainder.

1,3,577,1731

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

Greatest Common Factor

We found the factors and prime factorization of 1731 and 1734. The biggest common factor number is the GCF number.
So the greatest common factor 1731 and 1734 is 3.

Also check out the Least Common Multiple of 1731 and 1734

Properties of GCF 1731 and 1734

(i) The GCF of 1731 and 1734 is associative

GCF of 1731 and 1734 = GCF of 1734 and 1731

Related Greatest Common Factor of 1731

Related Greatest Common Factor of 1734

Frequently Asked Questions on GCF of 1731 and 1734

1. What is the GCF of 1731 and 1734?

Answer: GCF of 1731 and 1734 is 3.

2. What are the Factors of 1731?

Answer: Factors of 1731 are 1, 3, 577, 1731. There are 4 integers that are factors of 1731. The greatest factor of 1731 is 1731.

3. 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.

4. How to Find the GCF of 1731 and 1734?

Answer:

Greatest Common Factor of 1731 and 1734 = 3

Step 1: Find the prime factorization of 1731

1731 = 3 x 577

Step 2: Find the prime factorization of 1734

1734 = 2 x 3 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 = 3

Step 4: Therefore, the greatest common factor of 1731 and 1734 is 3