What is the Greatest Common Factor of 11776 and 11792?

Greatest common factor (GCF) of 11776 and 11792 is 16.

GCF(11776,11792) = 16

We will now calculate the prime factors of 11776 and 11792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11776 and 11792.

How to find the GCF of 11776 and 11792?

We will first find the prime factorization of 11776 and 11792. After we will calculate the factors of 11776 and 11792 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 11792

Prime factors of 11792 are 2, 11, 67. Prime factorization of 11792 in exponential form is:

11792 = 2⁴ × 11¹ × 67¹

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 11792

List of positive integer factors of 11792 that divides 11776 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 67, 88, 134, 176, 268, 536, 737, 1072, 1474, 2948, 5896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11776 and 11792. The biggest common factor number is the GCF number.
So the greatest common factor 11776 and 11792 is 16.

Also check out the Least Common Multiple of 11776 and 11792