Greatest Common Factor of 1732 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 1732, 1740 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1732 and 1740 is 4.

GCF(1732,1740) = 4

GCF of 1732 and 1740

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

GCF of:
and

Greatest Common Factor of 1732 and 1740

GCF of 1732 and 1740 is 4

Prime Factorization of 1732


2 1732
2 866
433 433
1

Prime factors of 1732 are 2,433. Prime factorization of 1732 in exponential form is:

1732 = 22×4331

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 1732 and 1740 is 4

Greatest Common Factor of 1732 and 1740 by matching factors method

Factors of 1732

List of positive integer factors of 1732 that divides 1732 without a remainder.

1,2,4,433,866,1732

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 1732 and 1740. The biggest common factor number is the GCF number.
So the greatest common factor 1732 and 1740 is 4.

Also check out the Least Common Multiple of 1732 and 1740

Properties of GCF 1732 and 1740

(i) The GCF of 1732 and 1740 is associative

GCF of 1732 and 1740 = GCF of 1740 and 1732

Related Greatest Common Factor of 1732

Related Greatest Common Factor of 1740

Frequently Asked Questions on GCF of 1732 and 1740

1. What is the GCF of 1732 and 1740?

Answer: GCF of 1732 and 1740 is 4.

2. What are the Factors of 1732?

Answer: Factors of 1732 are 1, 2, 4, 433, 866, 1732. There are 6 integers that are factors of 1732. The greatest factor of 1732 is 1732.

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 1732 and 1740?

Answer:

Greatest Common Factor of 1732 and 1740 = 4

Step 1: Find the prime factorization of 1732

1732 = 2 x 2 x 433

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 2 = 4

Step 4: Therefore, the greatest common factor of 1732 and 1740 is 4