What is the Greatest Common Factor of 11784 and 11789?

Greatest common factor (GCF) of 11784 and 11789 is 1.

GCF(11784,11789) = 1

We will now calculate the prime factors of 11784 and 11789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11784 and 11789.

How to find the GCF of 11784 and 11789?

We will first find the prime factorization of 11784 and 11789. After we will calculate the factors of 11784 and 11789 and find the biggest common factor number .

Step-1: Prime Factorization of 11784

Prime factors of 11784 are 2, 3, 491. Prime factorization of 11784 in exponential form is:

11784 = 2³ × 3¹ × 491¹

Step-2: Prime Factorization of 11789

Prime factors of 11789 are 11789. Prime factorization of 11789 in exponential form is:

11789 = 11789¹

Step-3: Factors of 11784

List of positive integer factors of 11784 that divides 11784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 491, 982, 1473, 1964, 2946, 3928, 5892

Step-4: Factors of 11789

List of positive integer factors of 11789 that divides 11784 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11784 and 11789. The biggest common factor number is the GCF number.
So the greatest common factor 11784 and 11789 is 1.

Also check out the Least Common Multiple of 11784 and 11789