What is the Greatest Common Factor of 73728 and 73739?

Greatest common factor (GCF) of 73728 and 73739 is 1.

GCF(73728,73739) = 1

We will now calculate the prime factors of 73728 and 73739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73728 and 73739.

How to find the GCF of 73728 and 73739?

We will first find the prime factorization of 73728 and 73739. After we will calculate the factors of 73728 and 73739 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 73739

Prime factors of 73739 are 19, 3881. Prime factorization of 73739 in exponential form is:

73739 = 19¹ × 3881¹

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 73739

List of positive integer factors of 73739 that divides 73728 without a remainder.

1, 19, 3881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73728 and 73739. The biggest common factor number is the GCF number.
So the greatest common factor 73728 and 73739 is 1.

Also check out the Least Common Multiple of 73728 and 73739