What is the Greatest Common Factor of 73216 and 73232?

Greatest common factor (GCF) of 73216 and 73232 is 16.

GCF(73216,73232) = 16

We will now calculate the prime factors of 73216 and 73232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73216 and 73232.

How to find the GCF of 73216 and 73232?

We will first find the prime factorization of 73216 and 73232. After we will calculate the factors of 73216 and 73232 and find the biggest common factor number .

Step-1: Prime Factorization of 73216

Prime factors of 73216 are 2, 11, 13. Prime factorization of 73216 in exponential form is:

73216 = 2⁹ × 11¹ × 13¹

Step-2: Prime Factorization of 73232

Prime factors of 73232 are 2, 23, 199. Prime factorization of 73232 in exponential form is:

73232 = 2⁴ × 23¹ × 199¹

Step-3: Factors of 73216

List of positive integer factors of 73216 that divides 73216 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 128, 143, 176, 208, 256, 286, 352, 416, 512, 572, 704, 832, 1144, 1408, 1664, 2288, 2816, 3328, 4576, 5632, 6656, 9152, 18304, 36608

Step-4: Factors of 73232

List of positive integer factors of 73232 that divides 73216 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 199, 368, 398, 796, 1592, 3184, 4577, 9154, 18308, 36616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73216 and 73232. The biggest common factor number is the GCF number.
So the greatest common factor 73216 and 73232 is 16.

Also check out the Least Common Multiple of 73216 and 73232