What is the Greatest Common Factor of 11472 and 11488?

Greatest common factor (GCF) of 11472 and 11488 is 16.

GCF(11472,11488) = 16

We will now calculate the prime factors of 11472 and 11488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11472 and 11488.

How to find the GCF of 11472 and 11488?

We will first find the prime factorization of 11472 and 11488. After we will calculate the factors of 11472 and 11488 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11488

Prime factors of 11488 are 2, 359. Prime factorization of 11488 in exponential form is:

11488 = 2⁵ × 359¹

Step-3: Factors of 11472

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

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

Step-4: Factors of 11488

List of positive integer factors of 11488 that divides 11472 without a remainder.

1, 2, 4, 8, 16, 32, 359, 718, 1436, 2872, 5744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11472 and 11488. The biggest common factor number is the GCF number.
So the greatest common factor 11472 and 11488 is 16.

Also check out the Least Common Multiple of 11472 and 11488