Greatest Common Factor of 1785 and 1788

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 1785, 1788 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1785 and 1788 is 3.

GCF(1785,1788) = 3

GCF of 1785 and 1788

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

GCF of:
and

Greatest Common Factor of 1785 and 1788

GCF of 1785 and 1788 is 3

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

Prime Factorization of 1788


2 1788
2 894
3 447
149 149
1

Prime factors of 1788 are 2,3,149. Prime factorization of 1788 in exponential form is:

1788 = 22×31×1491

∴ So by taking common prime factors GCF of 1785 and 1788 is 3

Greatest Common Factor of 1785 and 1788 by matching factors method

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

Factors of 1788

List of positive integer factors of 1788 that divides 1788 without a remainder.

1,2,3,4,6,12,149,298,447,596,894,1788

Greatest Common Factor

We found the factors and prime factorization of 1785 and 1788. The biggest common factor number is the GCF number.
So the greatest common factor 1785 and 1788 is 3.

Also check out the Least Common Multiple of 1785 and 1788

Properties of GCF 1785 and 1788

(i) The GCF of 1785 and 1788 is associative

GCF of 1785 and 1788 = GCF of 1788 and 1785

Related Greatest Common Factor of 1785

Related Greatest Common Factor of 1788

Frequently Asked Questions on GCF of 1785 and 1788

1. What is the GCF of 1785 and 1788?

Answer: GCF of 1785 and 1788 is 3.

2. 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.

3. What are the Factors of 1788?

Answer: Factors of 1788 are 1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894, 1788. There are 12 integers that are factors of 1788. The greatest factor of 1788 is 1788.

4. How to Find the GCF of 1785 and 1788?

Answer:

Greatest Common Factor of 1785 and 1788 = 3

Step 1: Find the prime factorization of 1785

1785 = 3 x 5 x 7 x 17

Step 2: Find the prime factorization of 1788

1788 = 2 x 2 x 3 x 149

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 1785 and 1788 is 3