Greatest Common Factor of 1755 and 1761

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, 1761 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1755 and 1761 is 3.

GCF(1755,1761) = 3

GCF of 1755 and 1761

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

GCF of:
and

Greatest Common Factor of 1755 and 1761

GCF of 1755 and 1761 is 3

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 1761


3 1761
587 587
1

Prime factors of 1761 are 3,587. Prime factorization of 1761 in exponential form is:

1761 = 31×5871

∴ So by taking common prime factors GCF of 1755 and 1761 is 3

Greatest Common Factor of 1755 and 1761 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 1761

List of positive integer factors of 1761 that divides 1761 without a remainder.

1,3,587,1761

Greatest Common Factor

We found the factors and prime factorization of 1755 and 1761. The biggest common factor number is the GCF number.
So the greatest common factor 1755 and 1761 is 3.

Also check out the Least Common Multiple of 1755 and 1761

Properties of GCF 1755 and 1761

(i) The GCF of 1755 and 1761 is associative

GCF of 1755 and 1761 = GCF of 1761 and 1755

Related Greatest Common Factor of 1755

Related Greatest Common Factor of 1761

Frequently Asked Questions on GCF of 1755 and 1761

1. What is the GCF of 1755 and 1761?

Answer: GCF of 1755 and 1761 is 3.

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 1761?

Answer: Factors of 1761 are 1, 3, 587, 1761. There are 4 integers that are factors of 1761. The greatest factor of 1761 is 1761.

4. How to Find the GCF of 1755 and 1761?

Answer:

Greatest Common Factor of 1755 and 1761 = 3

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 1761

1761 = 3 x 587

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

GCF = 3

Step 4: Therefore, the greatest common factor of 1755 and 1761 is 3