Greatest Common Factor of 1755 and 1763

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, 1763 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1755 and 1763 is 1.

GCF(1755,1763) = 1

GCF of 1755 and 1763

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

GCF of:
and

Greatest Common Factor of 1755 and 1763

GCF of 1755 and 1763 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 1763


41 1763
43 43
1

Prime factors of 1763 are 41,43. Prime factorization of 1763 in exponential form is:

1763 = 411×431

∴ So by taking common prime factors GCF of 1755 and 1763 is 1

Greatest Common Factor of 1755 and 1763 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 1763

List of positive integer factors of 1763 that divides 1763 without a remainder.

1,41,43,1763

Greatest Common Factor

We found the factors and prime factorization of 1755 and 1763. The biggest common factor number is the GCF number.
So the greatest common factor 1755 and 1763 is 1.

Also check out the Least Common Multiple of 1755 and 1763

Properties of GCF 1755 and 1763

(i) The GCF of 1755 and 1763 is associative

GCF of 1755 and 1763 = GCF of 1763 and 1755

Related Greatest Common Factor of 1755

Related Greatest Common Factor of 1763

Frequently Asked Questions on GCF of 1755 and 1763

1. What is the GCF of 1755 and 1763?

Answer: GCF of 1755 and 1763 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 1763?

Answer: Factors of 1763 are 1, 41, 43, 1763. There are 4 integers that are factors of 1763. The greatest factor of 1763 is 1763.

4. How to Find the GCF of 1755 and 1763?

Answer:

Greatest Common Factor of 1755 and 1763 = 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 1763

1763 = 41 x 43

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 1763 is 1