What is the Greatest Common Factor of 73728 and 73742?

Greatest common factor (GCF) of 73728 and 73742 is 2.

GCF(73728,73742) = 2

We will now calculate the prime factors of 73728 and 73742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73728 and 73742.

How to find the GCF of 73728 and 73742?

We will first find the prime factorization of 73728 and 73742. After we will calculate the factors of 73728 and 73742 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 73742

Prime factors of 73742 are 2, 36871. Prime factorization of 73742 in exponential form is:

73742 = 2¹ × 36871¹

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 73742

List of positive integer factors of 73742 that divides 73728 without a remainder.

1, 2, 36871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73728 and 73742. The biggest common factor number is the GCF number.
So the greatest common factor 73728 and 73742 is 2.

Also check out the Least Common Multiple of 73728 and 73742