What is the Greatest Common Factor of 16440 and 16448?

Greatest common factor (GCF) of 16440 and 16448 is 8.

GCF(16440,16448) = 8

We will now calculate the prime factors of 16440 and 16448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16440 and 16448.

How to find the GCF of 16440 and 16448?

We will first find the prime factorization of 16440 and 16448. After we will calculate the factors of 16440 and 16448 and find the biggest common factor number .

Step-1: Prime Factorization of 16440

Prime factors of 16440 are 2, 3, 5, 137. Prime factorization of 16440 in exponential form is:

16440 = 2³ × 3¹ × 5¹ × 137¹

Step-2: Prime Factorization of 16448

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

16448 = 2⁶ × 257¹

Step-3: Factors of 16440

List of positive integer factors of 16440 that divides 16440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 137, 274, 411, 548, 685, 822, 1096, 1370, 1644, 2055, 2740, 3288, 4110, 5480, 8220

Step-4: Factors of 16448

List of positive integer factors of 16448 that divides 16440 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16440 and 16448. The biggest common factor number is the GCF number.
So the greatest common factor 16440 and 16448 is 8.

Also check out the Least Common Multiple of 16440 and 16448