What is the Greatest Common Factor of 23472 and 23488?

Greatest common factor (GCF) of 23472 and 23488 is 16.

GCF(23472,23488) = 16

We will now calculate the prime factors of 23472 and 23488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23472 and 23488.

How to find the GCF of 23472 and 23488?

We will first find the prime factorization of 23472 and 23488. After we will calculate the factors of 23472 and 23488 and find the biggest common factor number .

Step-1: Prime Factorization of 23472

Prime factors of 23472 are 2, 3, 163. Prime factorization of 23472 in exponential form is:

23472 = 2⁴ × 3² × 163¹

Step-2: Prime Factorization of 23488

Prime factors of 23488 are 2, 367. Prime factorization of 23488 in exponential form is:

23488 = 2⁶ × 367¹

Step-3: Factors of 23472

List of positive integer factors of 23472 that divides 23472 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 163, 326, 489, 652, 978, 1304, 1467, 1956, 2608, 2934, 3912, 5868, 7824, 11736

Step-4: Factors of 23488

List of positive integer factors of 23488 that divides 23472 without a remainder.

1, 2, 4, 8, 16, 32, 64, 367, 734, 1468, 2936, 5872, 11744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23472 and 23488. The biggest common factor number is the GCF number.
So the greatest common factor 23472 and 23488 is 16.

Also check out the Least Common Multiple of 23472 and 23488