Greatest Common Factor of 1740 and 1745

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, 1745 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1740 and 1745 is 5.

GCF(1740,1745) = 5

GCF of 1740 and 1745

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

GCF of:
and

Greatest Common Factor of 1740 and 1745

GCF of 1740 and 1745 is 5

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 1745


5 1745
349 349
1

Prime factors of 1745 are 5,349. Prime factorization of 1745 in exponential form is:

1745 = 51×3491

∴ So by taking common prime factors GCF of 1740 and 1745 is 5

Greatest Common Factor of 1740 and 1745 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 1745

List of positive integer factors of 1745 that divides 1745 without a remainder.

1,5,349,1745

Greatest Common Factor

We found the factors and prime factorization of 1740 and 1745. The biggest common factor number is the GCF number.
So the greatest common factor 1740 and 1745 is 5.

Also check out the Least Common Multiple of 1740 and 1745

Properties of GCF 1740 and 1745

(i) The GCF of 1740 and 1745 is associative

GCF of 1740 and 1745 = GCF of 1745 and 1740

Related Greatest Common Factor of 1740

Related Greatest Common Factor of 1745

Frequently Asked Questions on GCF of 1740 and 1745

1. What is the GCF of 1740 and 1745?

Answer: GCF of 1740 and 1745 is 5.

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 1745?

Answer: Factors of 1745 are 1, 5, 349, 1745. There are 4 integers that are factors of 1745. The greatest factor of 1745 is 1745.

4. How to Find the GCF of 1740 and 1745?

Answer:

Greatest Common Factor of 1740 and 1745 = 5

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 1745

1745 = 5 x 349

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 1740 and 1745 is 5