What is the Greatest Common Factor of 11712 and 11728?

Greatest common factor (GCF) of 11712 and 11728 is 16.

GCF(11712,11728) = 16

We will now calculate the prime factors of 11712 and 11728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11712 and 11728.

How to find the GCF of 11712 and 11728?

We will first find the prime factorization of 11712 and 11728. After we will calculate the factors of 11712 and 11728 and find the biggest common factor number .

Step-1: Prime Factorization of 11712

Prime factors of 11712 are 2, 3, 61. Prime factorization of 11712 in exponential form is:

11712 = 2⁶ × 3¹ × 61¹

Step-2: Prime Factorization of 11728

Prime factors of 11728 are 2, 733. Prime factorization of 11728 in exponential form is:

11728 = 2⁴ × 733¹

Step-3: Factors of 11712

List of positive integer factors of 11712 that divides 11712 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 64, 96, 122, 183, 192, 244, 366, 488, 732, 976, 1464, 1952, 2928, 3904, 5856

Step-4: Factors of 11728

List of positive integer factors of 11728 that divides 11712 without a remainder.

1, 2, 4, 8, 16, 733, 1466, 2932, 5864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11712 and 11728. The biggest common factor number is the GCF number.
So the greatest common factor 11712 and 11728 is 16.

Also check out the Least Common Multiple of 11712 and 11728