Greatest Common Factor of 1782 and 1785

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 1782, 1785 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1782 and 1785 is 3.

GCF(1782,1785) = 3

GCF of 1782 and 1785

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

GCF of:
and

Greatest Common Factor of 1782 and 1785

GCF of 1782 and 1785 is 3

Prime Factorization of 1782


2 1782
3 891
3 297
3 99
3 33
11 11
1

Prime factors of 1782 are 2,3,11. Prime factorization of 1782 in exponential form is:

1782 = 21×34×111

Prime Factorization of 1785


3 1785
5 595
7 119
17 17
1

Prime factors of 1785 are 3,5,7,17. Prime factorization of 1785 in exponential form is:

1785 = 31×51×71×171

∴ So by taking common prime factors GCF of 1782 and 1785 is 3

Greatest Common Factor of 1782 and 1785 by matching factors method

Factors of 1782

List of positive integer factors of 1782 that divides 1782 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,297,594,891,1782

Factors of 1785

List of positive integer factors of 1785 that divides 1785 without a remainder.

1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785

Greatest Common Factor

We found the factors and prime factorization of 1782 and 1785. The biggest common factor number is the GCF number.
So the greatest common factor 1782 and 1785 is 3.

Also check out the Least Common Multiple of 1782 and 1785

Properties of GCF 1782 and 1785

(i) The GCF of 1782 and 1785 is associative

GCF of 1782 and 1785 = GCF of 1785 and 1782

Related Greatest Common Factor of 1782

Related Greatest Common Factor of 1785

Frequently Asked Questions on GCF of 1782 and 1785

1. What is the GCF of 1782 and 1785?

Answer: GCF of 1782 and 1785 is 3.

2. What are the Factors of 1782?

Answer: Factors of 1782 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 297, 594, 891, 1782. There are 20 integers that are factors of 1782. The greatest factor of 1782 is 1782.

3. What are the Factors of 1785?

Answer: Factors of 1785 are 1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595, 1785. There are 16 integers that are factors of 1785. The greatest factor of 1785 is 1785.

4. How to Find the GCF of 1782 and 1785?

Answer:

Greatest Common Factor of 1782 and 1785 = 3

Step 1: Find the prime factorization of 1782

1782 = 2 x 3 x 3 x 3 x 3 x 11

Step 2: Find the prime factorization of 1785

1785 = 3 x 5 x 7 x 17

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 1782 and 1785 is 3