Greatest Common Factor of 1740 and 1746

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 1740, 1746 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1740 and 1746 is 6.

GCF(1740,1746) = 6

GCF of 1740 and 1746

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

GCF of:
and

Greatest Common Factor of 1740 and 1746

GCF of 1740 and 1746 is 6

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

Prime Factorization of 1746


2 1746
3 873
3 291
97 97
1

Prime factors of 1746 are 2,3,97. Prime factorization of 1746 in exponential form is:

1746 = 21×32×971

∴ So by taking common prime factors GCF of 1740 and 1746 is 6

Greatest Common Factor of 1740 and 1746 by matching factors method

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

Factors of 1746

List of positive integer factors of 1746 that divides 1746 without a remainder.

1,2,3,6,9,18,97,194,291,582,873,1746

Greatest Common Factor

We found the factors and prime factorization of 1740 and 1746. The biggest common factor number is the GCF number.
So the greatest common factor 1740 and 1746 is 6.

Also check out the Least Common Multiple of 1740 and 1746

Properties of GCF 1740 and 1746

(i) The GCF of 1740 and 1746 is associative

GCF of 1740 and 1746 = GCF of 1746 and 1740

Related Greatest Common Factor of 1740

Related Greatest Common Factor of 1746

Frequently Asked Questions on GCF of 1740 and 1746

1. What is the GCF of 1740 and 1746?

Answer: GCF of 1740 and 1746 is 6.

2. 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.

3. What are the Factors of 1746?

Answer: Factors of 1746 are 1, 2, 3, 6, 9, 18, 97, 194, 291, 582, 873, 1746. There are 12 integers that are factors of 1746. The greatest factor of 1746 is 1746.

4. How to Find the GCF of 1740 and 1746?

Answer:

Greatest Common Factor of 1740 and 1746 = 6

Step 1: Find the prime factorization of 1740

1740 = 2 x 2 x 3 x 5 x 29

Step 2: Find the prime factorization of 1746

1746 = 2 x 3 x 3 x 97

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 1740 and 1746 is 6