Greatest Common Factor of 1760 and 1765

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 1760, 1765 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1760 and 1765 is 5.

GCF(1760,1765) = 5

GCF of 1760 and 1765

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

GCF of:
and

Greatest Common Factor of 1760 and 1765

GCF of 1760 and 1765 is 5

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

Prime Factorization of 1765


5 1765
353 353
1

Prime factors of 1765 are 5,353. Prime factorization of 1765 in exponential form is:

1765 = 51×3531

∴ So by taking common prime factors GCF of 1760 and 1765 is 5

Greatest Common Factor of 1760 and 1765 by matching factors method

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

Factors of 1765

List of positive integer factors of 1765 that divides 1765 without a remainder.

1,5,353,1765

Greatest Common Factor

We found the factors and prime factorization of 1760 and 1765. The biggest common factor number is the GCF number.
So the greatest common factor 1760 and 1765 is 5.

Also check out the Least Common Multiple of 1760 and 1765

Properties of GCF 1760 and 1765

(i) The GCF of 1760 and 1765 is associative

GCF of 1760 and 1765 = GCF of 1765 and 1760

Related Greatest Common Factor of 1760

Related Greatest Common Factor of 1765

Frequently Asked Questions on GCF of 1760 and 1765

1. What is the GCF of 1760 and 1765?

Answer: GCF of 1760 and 1765 is 5.

2. 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.

3. What are the Factors of 1765?

Answer: Factors of 1765 are 1, 5, 353, 1765. There are 4 integers that are factors of 1765. The greatest factor of 1765 is 1765.

4. How to Find the GCF of 1760 and 1765?

Answer:

Greatest Common Factor of 1760 and 1765 = 5

Step 1: Find the prime factorization of 1760

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

Step 2: Find the prime factorization of 1765

1765 = 5 x 353

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 1760 and 1765 is 5