Greatest Common Factor of 1755 and 1759

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 1755, 1759 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1755 and 1759 is 1.

GCF(1755,1759) = 1

GCF of 1755 and 1759

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

GCF of:
and

Greatest Common Factor of 1755 and 1759

GCF of 1755 and 1759 is 1

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

Prime Factorization of 1759


1759 1759
1

Prime factors of 1759 are 1759. Prime factorization of 1759 in exponential form is:

1759 = 17591

∴ So by taking common prime factors GCF of 1755 and 1759 is 1

Greatest Common Factor of 1755 and 1759 by matching factors method

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

Factors of 1759

List of positive integer factors of 1759 that divides 1759 without a remainder.

1,1759

Greatest Common Factor

We found the factors and prime factorization of 1755 and 1759. The biggest common factor number is the GCF number.
So the greatest common factor 1755 and 1759 is 1.

Also check out the Least Common Multiple of 1755 and 1759

Properties of GCF 1755 and 1759

(i) The GCF of 1755 and 1759 is associative

GCF of 1755 and 1759 = GCF of 1759 and 1755

Related Greatest Common Factor of 1755

Related Greatest Common Factor of 1759

Frequently Asked Questions on GCF of 1755 and 1759

1. What is the GCF of 1755 and 1759?

Answer: GCF of 1755 and 1759 is 1.

2. 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.

3. What are the Factors of 1759?

Answer: Factors of 1759 are 1, 1759. There are 2 integers that are factors of 1759. The greatest factor of 1759 is 1759.

4. How to Find the GCF of 1755 and 1759?

Answer:

Greatest Common Factor of 1755 and 1759 = 1

Step 1: Find the prime factorization of 1755

1755 = 3 x 3 x 3 x 5 x 13

Step 2: Find the prime factorization of 1759

1759 = 1759

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1755 and 1759 is 1