What is the Greatest Common Factor of 1776 and 1788?

Greatest common factor (GCF) of 1776 and 1788 is 12.

GCF(1776,1788) = 12

We will now calculate the prime factors of 1776 and 1788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1776 and 1788.

How to find the GCF of 1776 and 1788?

We will first find the prime factorization of 1776 and 1788. After we will calculate the factors of 1776 and 1788 and find the biggest common factor number .

Step-1: Prime Factorization of 1776

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

1776 = 2⁴ × 3¹ × 37¹

Step-2: Prime Factorization of 1788

Prime factors of 1788 are 2, 3, 149. Prime factorization of 1788 in exponential form is:

1788 = 2² × 3¹ × 149¹

Step-3: 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

Step-4: Factors of 1788

List of positive integer factors of 1788 that divides 1776 without a remainder.

1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1776 and 1788. The biggest common factor number is the GCF number.
So the greatest common factor 1776 and 1788 is 12.

Also check out the Least Common Multiple of 1776 and 1788