Greatest Common Factor of 1750 and 1755

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, 1755 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1750 and 1755 is 5.

GCF(1750,1755) = 5

GCF of 1750 and 1755

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

GCF of:
and

Greatest Common Factor of 1750 and 1755

GCF of 1750 and 1755 is 5

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 1755


3 1755
3 585
3 195
5 65
13 13
1

Prime factors of 1755 are 3,5,13. Prime factorization of 1755 in exponential form is:

1755 = 33×51×131

∴ So by taking common prime factors GCF of 1750 and 1755 is 5

Greatest Common Factor of 1750 and 1755 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 1755

List of positive integer factors of 1755 that divides 1755 without a remainder.

1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755

Greatest Common Factor

We found the factors and prime factorization of 1750 and 1755. The biggest common factor number is the GCF number.
So the greatest common factor 1750 and 1755 is 5.

Also check out the Least Common Multiple of 1750 and 1755

Properties of GCF 1750 and 1755

(i) The GCF of 1750 and 1755 is associative

GCF of 1750 and 1755 = GCF of 1755 and 1750

Related Greatest Common Factor of 1750

Related Greatest Common Factor of 1755

Frequently Asked Questions on GCF of 1750 and 1755

1. What is the GCF of 1750 and 1755?

Answer: GCF of 1750 and 1755 is 5.

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 1755?

Answer: Factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755. There are 16 integers that are factors of 1755. The greatest factor of 1755 is 1755.

4. How to Find the GCF of 1750 and 1755?

Answer:

Greatest Common Factor of 1750 and 1755 = 5

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 1755

1755 = 3 x 3 x 3 x 5 x 13

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 1750 and 1755 is 5