What is the Greatest Common Factor of 16448 and 16464?

Greatest common factor (GCF) of 16448 and 16464 is 16.

GCF(16448,16464) = 16

We will now calculate the prime factors of 16448 and 16464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16448 and 16464.

How to find the GCF of 16448 and 16464?

We will first find the prime factorization of 16448 and 16464. After we will calculate the factors of 16448 and 16464 and find the biggest common factor number .

Step-1: Prime Factorization of 16448

Prime factors of 16448 are 2, 257. Prime factorization of 16448 in exponential form is:

16448 = 2⁶ × 257¹

Step-2: Prime Factorization of 16464

Prime factors of 16464 are 2, 3, 7. Prime factorization of 16464 in exponential form is:

16464 = 2⁴ × 3¹ × 7³

Step-3: Factors of 16448

List of positive integer factors of 16448 that divides 16448 without a remainder.

1, 2, 4, 8, 16, 32, 64, 257, 514, 1028, 2056, 4112, 8224

Step-4: Factors of 16464

List of positive integer factors of 16464 that divides 16448 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 343, 392, 588, 686, 784, 1029, 1176, 1372, 2058, 2352, 2744, 4116, 5488, 8232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16448 and 16464. The biggest common factor number is the GCF number.
So the greatest common factor 16448 and 16464 is 16.

Also check out the Least Common Multiple of 16448 and 16464