Greatest Common Factor of 1740 and 1748

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, 1748 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1740 and 1748 is 4.

GCF(1740,1748) = 4

GCF of 1740 and 1748

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

GCF of:
and

Greatest Common Factor of 1740 and 1748

GCF of 1740 and 1748 is 4

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 1748


2 1748
2 874
19 437
23 23
1

Prime factors of 1748 are 2,19,23. Prime factorization of 1748 in exponential form is:

1748 = 22×191×231

∴ So by taking common prime factors GCF of 1740 and 1748 is 4

Greatest Common Factor of 1740 and 1748 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 1748

List of positive integer factors of 1748 that divides 1748 without a remainder.

1,2,4,19,23,38,46,76,92,437,874,1748

Greatest Common Factor

We found the factors and prime factorization of 1740 and 1748. The biggest common factor number is the GCF number.
So the greatest common factor 1740 and 1748 is 4.

Also check out the Least Common Multiple of 1740 and 1748

Properties of GCF 1740 and 1748

(i) The GCF of 1740 and 1748 is associative

GCF of 1740 and 1748 = GCF of 1748 and 1740

Related Greatest Common Factor of 1740

Related Greatest Common Factor of 1748

Frequently Asked Questions on GCF of 1740 and 1748

1. What is the GCF of 1740 and 1748?

Answer: GCF of 1740 and 1748 is 4.

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 1748?

Answer: Factors of 1748 are 1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 874, 1748. There are 12 integers that are factors of 1748. The greatest factor of 1748 is 1748.

4. How to Find the GCF of 1740 and 1748?

Answer:

Greatest Common Factor of 1740 and 1748 = 4

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 1748

1748 = 2 x 2 x 19 x 23

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 1740 and 1748 is 4