Greatest Common Factor of 1788 and 1796

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 1788, 1796 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1788 and 1796 is 4.

GCF(1788,1796) = 4

GCF of 1788 and 1796

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

GCF of:
and

Greatest Common Factor of 1788 and 1796

GCF of 1788 and 1796 is 4

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

Prime Factorization of 1796


2 1796
2 898
449 449
1

Prime factors of 1796 are 2,449. Prime factorization of 1796 in exponential form is:

1796 = 22×4491

∴ So by taking common prime factors GCF of 1788 and 1796 is 4

Greatest Common Factor of 1788 and 1796 by matching factors method

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

Factors of 1796

List of positive integer factors of 1796 that divides 1796 without a remainder.

1,2,4,449,898,1796

Greatest Common Factor

We found the factors and prime factorization of 1788 and 1796. The biggest common factor number is the GCF number.
So the greatest common factor 1788 and 1796 is 4.

Also check out the Least Common Multiple of 1788 and 1796

Properties of GCF 1788 and 1796

(i) The GCF of 1788 and 1796 is associative

GCF of 1788 and 1796 = GCF of 1796 and 1788

Related Greatest Common Factor of 1788

Related Greatest Common Factor of 1796

Frequently Asked Questions on GCF of 1788 and 1796

1. What is the GCF of 1788 and 1796?

Answer: GCF of 1788 and 1796 is 4.

2. 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.

3. What are the Factors of 1796?

Answer: Factors of 1796 are 1, 2, 4, 449, 898, 1796. There are 6 integers that are factors of 1796. The greatest factor of 1796 is 1796.

4. How to Find the GCF of 1788 and 1796?

Answer:

Greatest Common Factor of 1788 and 1796 = 4

Step 1: Find the prime factorization of 1788

1788 = 2 x 2 x 3 x 149

Step 2: Find the prime factorization of 1796

1796 = 2 x 2 x 449

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1788 and 1796 is 4