What is the Greatest Common Factor of 11784 and 11788?

Greatest common factor (GCF) of 11784 and 11788 is 4.

GCF(11784,11788) = 4

We will now calculate the prime factors of 11784 and 11788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11784 and 11788.

How to find the GCF of 11784 and 11788?

We will first find the prime factorization of 11784 and 11788. After we will calculate the factors of 11784 and 11788 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 11788

Prime factors of 11788 are 2, 7, 421. Prime factorization of 11788 in exponential form is:

11788 = 2² × 7¹ × 421¹

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 11788

List of positive integer factors of 11788 that divides 11784 without a remainder.

1, 2, 4, 7, 14, 28, 421, 842, 1684, 2947, 5894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11784 and 11788. The biggest common factor number is the GCF number.
So the greatest common factor 11784 and 11788 is 4.

Also check out the Least Common Multiple of 11784 and 11788