Greatest Common Factor of 1785 and 1791

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, 1791 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1785 and 1791 is 3.

GCF(1785,1791) = 3

GCF of 1785 and 1791

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

GCF of:
and

Greatest Common Factor of 1785 and 1791

GCF of 1785 and 1791 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 1791


3 1791
3 597
199 199
1

Prime factors of 1791 are 3,199. Prime factorization of 1791 in exponential form is:

1791 = 32×1991

∴ So by taking common prime factors GCF of 1785 and 1791 is 3

Greatest Common Factor of 1785 and 1791 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 1791

List of positive integer factors of 1791 that divides 1791 without a remainder.

1,3,9,199,597,1791

Greatest Common Factor

We found the factors and prime factorization of 1785 and 1791. The biggest common factor number is the GCF number.
So the greatest common factor 1785 and 1791 is 3.

Also check out the Least Common Multiple of 1785 and 1791

Properties of GCF 1785 and 1791

(i) The GCF of 1785 and 1791 is associative

GCF of 1785 and 1791 = GCF of 1791 and 1785

Related Greatest Common Factor of 1785

Related Greatest Common Factor of 1791

Frequently Asked Questions on GCF of 1785 and 1791

1. What is the GCF of 1785 and 1791?

Answer: GCF of 1785 and 1791 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 1791?

Answer: Factors of 1791 are 1, 3, 9, 199, 597, 1791. There are 6 integers that are factors of 1791. The greatest factor of 1791 is 1791.

4. How to Find the GCF of 1785 and 1791?

Answer:

Greatest Common Factor of 1785 and 1791 = 3

Step 1: Find the prime factorization of 1785

1785 = 3 x 5 x 7 x 17

Step 2: Find the prime factorization of 1791

1791 = 3 x 3 x 199

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 1791 is 3