Greatest Common Factor of 1750 and 1757

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 1750, 1757 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1750 and 1757 is 7.

GCF(1750,1757) = 7

GCF of 1750 and 1757

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

GCF of:
and

Greatest Common Factor of 1750 and 1757

GCF of 1750 and 1757 is 7

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

Prime Factorization of 1757


7 1757
251 251
1

Prime factors of 1757 are 7,251. Prime factorization of 1757 in exponential form is:

1757 = 71×2511

∴ So by taking common prime factors GCF of 1750 and 1757 is 7

Greatest Common Factor of 1750 and 1757 by matching factors method

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

Factors of 1757

List of positive integer factors of 1757 that divides 1757 without a remainder.

1,7,251,1757

Greatest Common Factor

We found the factors and prime factorization of 1750 and 1757. The biggest common factor number is the GCF number.
So the greatest common factor 1750 and 1757 is 7.

Also check out the Least Common Multiple of 1750 and 1757

Properties of GCF 1750 and 1757

(i) The GCF of 1750 and 1757 is associative

GCF of 1750 and 1757 = GCF of 1757 and 1750

Related Greatest Common Factor of 1750

Related Greatest Common Factor of 1757

Frequently Asked Questions on GCF of 1750 and 1757

1. What is the GCF of 1750 and 1757?

Answer: GCF of 1750 and 1757 is 7.

2. 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.

3. What are the Factors of 1757?

Answer: Factors of 1757 are 1, 7, 251, 1757. There are 4 integers that are factors of 1757. The greatest factor of 1757 is 1757.

4. How to Find the GCF of 1750 and 1757?

Answer:

Greatest Common Factor of 1750 and 1757 = 7

Step 1: Find the prime factorization of 1750

1750 = 2 x 5 x 5 x 5 x 7

Step 2: Find the prime factorization of 1757

1757 = 7 x 251

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

GCF = 7

Step 4: Therefore, the greatest common factor of 1750 and 1757 is 7