Greatest Common Factor of 1755 and 1760

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, 1760 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1755 and 1760 is 5.

GCF(1755,1760) = 5

GCF of 1755 and 1760

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

GCF of:
and

Greatest Common Factor of 1755 and 1760

GCF of 1755 and 1760 is 5

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 1760


2 1760
2 880
2 440
2 220
2 110
5 55
11 11
1

Prime factors of 1760 are 2,5,11. Prime factorization of 1760 in exponential form is:

1760 = 25×51×111

∴ So by taking common prime factors GCF of 1755 and 1760 is 5

Greatest Common Factor of 1755 and 1760 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 1760

List of positive integer factors of 1760 that divides 1760 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,80,88,110,160,176,220,352,440,880,1760

Greatest Common Factor

We found the factors and prime factorization of 1755 and 1760. The biggest common factor number is the GCF number.
So the greatest common factor 1755 and 1760 is 5.

Also check out the Least Common Multiple of 1755 and 1760

Properties of GCF 1755 and 1760

(i) The GCF of 1755 and 1760 is associative

GCF of 1755 and 1760 = GCF of 1760 and 1755

Related Greatest Common Factor of 1755

Related Greatest Common Factor of 1760

Frequently Asked Questions on GCF of 1755 and 1760

1. What is the GCF of 1755 and 1760?

Answer: GCF of 1755 and 1760 is 5.

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 1760?

Answer: Factors of 1760 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 160, 176, 220, 352, 440, 880, 1760. There are 24 integers that are factors of 1760. The greatest factor of 1760 is 1760.

4. How to Find the GCF of 1755 and 1760?

Answer:

Greatest Common Factor of 1755 and 1760 = 5

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 1760

1760 = 2 x 2 x 2 x 2 x 2 x 5 x 11

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 1755 and 1760 is 5