What is the Greatest Common Factor of 73718 and 73728?

Greatest common factor (GCF) of 73718 and 73728 is 2.

GCF(73718,73728) = 2

We will now calculate the prime factors of 73718 and 73728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73718 and 73728.

How to find the GCF of 73718 and 73728?

We will first find the prime factorization of 73718 and 73728. After we will calculate the factors of 73718 and 73728 and find the biggest common factor number .

Step-1: Prime Factorization of 73718

Prime factors of 73718 are 2, 29, 31, 41. Prime factorization of 73718 in exponential form is:

73718 = 2¹ × 29¹ × 31¹ × 41¹

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 73718

List of positive integer factors of 73718 that divides 73718 without a remainder.

1, 2, 29, 31, 41, 58, 62, 82, 899, 1189, 1271, 1798, 2378, 2542, 36859

Step-4: Factors of 73728

List of positive integer factors of 73728 that divides 73718 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 73718 and 73728. The biggest common factor number is the GCF number.
So the greatest common factor 73718 and 73728 is 2.

Also check out the Least Common Multiple of 73718 and 73728