Greatest Common Factor of 1742 and 1750

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 1742, 1750 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1742 and 1750 is 2.

GCF(1742,1750) = 2

GCF of 1742 and 1750

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

GCF of:
and

Greatest Common Factor of 1742 and 1750

GCF of 1742 and 1750 is 2

Prime Factorization of 1742


2 1742
13 871
67 67
1

Prime factors of 1742 are 2,13,67. Prime factorization of 1742 in exponential form is:

1742 = 21×131×671

Prime Factorization of 1750


2 1750
5 875
5 175
5 35
7 7
1

Prime factors of 1750 are 2,5,7. Prime factorization of 1750 in exponential form is:

1750 = 21×53×71

∴ So by taking common prime factors GCF of 1742 and 1750 is 2

Greatest Common Factor of 1742 and 1750 by matching factors method

Factors of 1742

List of positive integer factors of 1742 that divides 1742 without a remainder.

1,2,13,26,67,134,871,1742

Factors of 1750

List of positive integer factors of 1750 that divides 1750 without a remainder.

1,2,5,7,10,14,25,35,50,70,125,175,250,350,875,1750

Greatest Common Factor

We found the factors and prime factorization of 1742 and 1750. The biggest common factor number is the GCF number.
So the greatest common factor 1742 and 1750 is 2.

Also check out the Least Common Multiple of 1742 and 1750

Properties of GCF 1742 and 1750

(i) The GCF of 1742 and 1750 is associative

GCF of 1742 and 1750 = GCF of 1750 and 1742

Related Greatest Common Factor of 1742

Related Greatest Common Factor of 1750

Frequently Asked Questions on GCF of 1742 and 1750

1. What is the GCF of 1742 and 1750?

Answer: GCF of 1742 and 1750 is 2.

2. What are the Factors of 1742?

Answer: Factors of 1742 are 1, 2, 13, 26, 67, 134, 871, 1742. There are 8 integers that are factors of 1742. The greatest factor of 1742 is 1742.

3. What are the Factors of 1750?

Answer: Factors of 1750 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, 1750. There are 16 integers that are factors of 1750. The greatest factor of 1750 is 1750.

4. How to Find the GCF of 1742 and 1750?

Answer:

Greatest Common Factor of 1742 and 1750 = 2

Step 1: Find the prime factorization of 1742

1742 = 2 x 13 x 67

Step 2: Find the prime factorization of 1750

1750 = 2 x 5 x 5 x 5 x 7

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1742 and 1750 is 2