What is the Greatest Common Factor of 11776 and 11784?

Greatest common factor (GCF) of 11776 and 11784 is 8.

GCF(11776,11784) = 8

We will now calculate the prime factors of 11776 and 11784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11776 and 11784.

How to find the GCF of 11776 and 11784?

We will first find the prime factorization of 11776 and 11784. After we will calculate the factors of 11776 and 11784 and find the biggest common factor number .

Step-1: Prime Factorization of 11776

Prime factors of 11776 are 2, 23. Prime factorization of 11776 in exponential form is:

11776 = 2⁹ × 23¹

Step-2: 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-3: Factors of 11776

List of positive integer factors of 11776 that divides 11776 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 256, 368, 512, 736, 1472, 2944, 5888

Step-4: Factors of 11784

List of positive integer factors of 11784 that divides 11776 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11776 and 11784. The biggest common factor number is the GCF number.
So the greatest common factor 11776 and 11784 is 8.

Also check out the Least Common Multiple of 11776 and 11784