What is the Greatest Common Factor of 73715 and 73728?

Greatest common factor (GCF) of 73715 and 73728 is 1.

GCF(73715,73728) = 1

We will now calculate the prime factors of 73715 and 73728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73715 and 73728.

How to find the GCF of 73715 and 73728?

We will first find the prime factorization of 73715 and 73728. After we will calculate the factors of 73715 and 73728 and find the biggest common factor number .

Step-1: Prime Factorization of 73715

Prime factors of 73715 are 5, 23, 641. Prime factorization of 73715 in exponential form is:

73715 = 5¹ × 23¹ × 641¹

Step-2: Prime Factorization of 73728

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

73728 = 2¹³ × 3²

Step-3: Factors of 73715

List of positive integer factors of 73715 that divides 73715 without a remainder.

1, 5, 23, 115, 641, 3205, 14743

Step-4: Factors of 73728

List of positive integer factors of 73728 that divides 73715 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73715 and 73728. The biggest common factor number is the GCF number.
So the greatest common factor 73715 and 73728 is 1.

Also check out the Least Common Multiple of 73715 and 73728