What is the Greatest Common Factor of 23488 and 23504?

Greatest common factor (GCF) of 23488 and 23504 is 16.

GCF(23488,23504) = 16

We will now calculate the prime factors of 23488 and 23504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23488 and 23504.

How to find the GCF of 23488 and 23504?

We will first find the prime factorization of 23488 and 23504. After we will calculate the factors of 23488 and 23504 and find the biggest common factor number .

Step-1: Prime Factorization of 23488

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

23488 = 2⁶ × 367¹

Step-2: Prime Factorization of 23504

Prime factors of 23504 are 2, 13, 113. Prime factorization of 23504 in exponential form is:

23504 = 2⁴ × 13¹ × 113¹

Step-3: Factors of 23488

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

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

Step-4: Factors of 23504

List of positive integer factors of 23504 that divides 23488 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 113, 208, 226, 452, 904, 1469, 1808, 2938, 5876, 11752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23488 and 23504. The biggest common factor number is the GCF number.
So the greatest common factor 23488 and 23504 is 16.

Also check out the Least Common Multiple of 23488 and 23504