Greatest Common Factor of 1776 and 1782

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 1776, 1782 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1776 and 1782 is 6.

GCF(1776,1782) = 6

GCF of 1776 and 1782

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

GCF of:
and

Greatest Common Factor of 1776 and 1782

GCF of 1776 and 1782 is 6

Prime Factorization of 1776


2 1776
2 888
2 444
2 222
3 111
37 37
1

Prime factors of 1776 are 2,3,37. Prime factorization of 1776 in exponential form is:

1776 = 24×31×371

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

∴ So by taking common prime factors GCF of 1776 and 1782 is 6

Greatest Common Factor of 1776 and 1782 by matching factors method

Factors of 1776

List of positive integer factors of 1776 that divides 1776 without a remainder.

1,2,3,4,6,8,12,16,24,37,48,74,111,148,222,296,444,592,888,1776

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

Greatest Common Factor

We found the factors and prime factorization of 1776 and 1782. The biggest common factor number is the GCF number.
So the greatest common factor 1776 and 1782 is 6.

Also check out the Least Common Multiple of 1776 and 1782

Properties of GCF 1776 and 1782

(i) The GCF of 1776 and 1782 is associative

GCF of 1776 and 1782 = GCF of 1782 and 1776

Related Greatest Common Factor of 1776

Related Greatest Common Factor of 1782

Frequently Asked Questions on GCF of 1776 and 1782

1. What is the GCF of 1776 and 1782?

Answer: GCF of 1776 and 1782 is 6.

2. What are the Factors of 1776?

Answer: Factors of 1776 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888, 1776. There are 20 integers that are factors of 1776. The greatest factor of 1776 is 1776.

3. 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.

4. How to Find the GCF of 1776 and 1782?

Answer:

Greatest Common Factor of 1776 and 1782 = 6

Step 1: Find the prime factorization of 1776

1776 = 2 x 2 x 2 x 2 x 3 x 37

Step 2: Find the prime factorization of 1782

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1776 and 1782 is 6