Greatest Common Factor of 1782 and 1790

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, 1790 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1782 and 1790 is 2.

GCF(1782,1790) = 2

GCF of 1782 and 1790

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

GCF of:
and

Greatest Common Factor of 1782 and 1790

GCF of 1782 and 1790 is 2

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 1790


2 1790
5 895
179 179
1

Prime factors of 1790 are 2,5,179. Prime factorization of 1790 in exponential form is:

1790 = 21×51×1791

∴ So by taking common prime factors GCF of 1782 and 1790 is 2

Greatest Common Factor of 1782 and 1790 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 1790

List of positive integer factors of 1790 that divides 1790 without a remainder.

1,2,5,10,179,358,895,1790

Greatest Common Factor

We found the factors and prime factorization of 1782 and 1790. The biggest common factor number is the GCF number.
So the greatest common factor 1782 and 1790 is 2.

Also check out the Least Common Multiple of 1782 and 1790

Properties of GCF 1782 and 1790

(i) The GCF of 1782 and 1790 is associative

GCF of 1782 and 1790 = GCF of 1790 and 1782

Related Greatest Common Factor of 1782

Related Greatest Common Factor of 1790

Frequently Asked Questions on GCF of 1782 and 1790

1. What is the GCF of 1782 and 1790?

Answer: GCF of 1782 and 1790 is 2.

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 1790?

Answer: Factors of 1790 are 1, 2, 5, 10, 179, 358, 895, 1790. There are 8 integers that are factors of 1790. The greatest factor of 1790 is 1790.

4. How to Find the GCF of 1782 and 1790?

Answer:

Greatest Common Factor of 1782 and 1790 = 2

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 1790

1790 = 2 x 5 x 179

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 1782 and 1790 is 2