What is the Greatest Common Factor of 73728 and 73744?

Greatest common factor (GCF) of 73728 and 73744 is 16.

GCF(73728,73744) = 16

We will now calculate the prime factors of 73728 and 73744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73728 and 73744.

How to find the GCF of 73728 and 73744?

We will first find the prime factorization of 73728 and 73744. After we will calculate the factors of 73728 and 73744 and find the biggest common factor number .

Step-1: Prime Factorization of 73728

Prime factors of 73728 are 2, 3. Prime factorization of 73728 in exponential form is:

73728 = 2¹³ × 3²

Step-2: Prime Factorization of 73744

Prime factors of 73744 are 2, 11, 419. Prime factorization of 73744 in exponential form is:

73744 = 2⁴ × 11¹ × 419¹

Step-3: Factors of 73728

List of positive integer factors of 73728 that divides 73728 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2048, 2304, 3072, 4096, 4608, 6144, 8192, 9216, 12288, 18432, 24576, 36864

Step-4: Factors of 73744

List of positive integer factors of 73744 that divides 73728 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 419, 838, 1676, 3352, 4609, 6704, 9218, 18436, 36872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73728 and 73744. The biggest common factor number is the GCF number.
So the greatest common factor 73728 and 73744 is 16.

Also check out the Least Common Multiple of 73728 and 73744