Greatest Common Factor of 1776 and 1779

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, 1779 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1776 and 1779 is 3.

GCF(1776,1779) = 3

GCF of 1776 and 1779

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

GCF of:
and

Greatest Common Factor of 1776 and 1779

GCF of 1776 and 1779 is 3

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 1779


3 1779
593 593
1

Prime factors of 1779 are 3,593. Prime factorization of 1779 in exponential form is:

1779 = 31×5931

∴ So by taking common prime factors GCF of 1776 and 1779 is 3

Greatest Common Factor of 1776 and 1779 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 1779

List of positive integer factors of 1779 that divides 1779 without a remainder.

1,3,593,1779

Greatest Common Factor

We found the factors and prime factorization of 1776 and 1779. The biggest common factor number is the GCF number.
So the greatest common factor 1776 and 1779 is 3.

Also check out the Least Common Multiple of 1776 and 1779

Properties of GCF 1776 and 1779

(i) The GCF of 1776 and 1779 is associative

GCF of 1776 and 1779 = GCF of 1779 and 1776

Related Greatest Common Factor of 1776

Related Greatest Common Factor of 1779

Frequently Asked Questions on GCF of 1776 and 1779

1. What is the GCF of 1776 and 1779?

Answer: GCF of 1776 and 1779 is 3.

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 1779?

Answer: Factors of 1779 are 1, 3, 593, 1779. There are 4 integers that are factors of 1779. The greatest factor of 1779 is 1779.

4. How to Find the GCF of 1776 and 1779?

Answer:

Greatest Common Factor of 1776 and 1779 = 3

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 1779

1779 = 3 x 593

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 1776 and 1779 is 3