What is the Greatest Common Factor of 11456 and 11472?

Greatest common factor (GCF) of 11456 and 11472 is 16.

GCF(11456,11472) = 16

We will now calculate the prime factors of 11456 and 11472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11456 and 11472.

How to find the GCF of 11456 and 11472?

We will first find the prime factorization of 11456 and 11472. After we will calculate the factors of 11456 and 11472 and find the biggest common factor number .

Step-1: Prime Factorization of 11456

Prime factors of 11456 are 2, 179. Prime factorization of 11456 in exponential form is:

11456 = 2⁶ × 179¹

Step-2: Prime Factorization of 11472

Prime factors of 11472 are 2, 3, 239. Prime factorization of 11472 in exponential form is:

11472 = 2⁴ × 3¹ × 239¹

Step-3: Factors of 11456

List of positive integer factors of 11456 that divides 11456 without a remainder.

1, 2, 4, 8, 16, 32, 64, 179, 358, 716, 1432, 2864, 5728

Step-4: Factors of 11472

List of positive integer factors of 11472 that divides 11456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 239, 478, 717, 956, 1434, 1912, 2868, 3824, 5736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11456 and 11472. The biggest common factor number is the GCF number.
So the greatest common factor 11456 and 11472 is 16.

Also check out the Least Common Multiple of 11456 and 11472