What is the Greatest Common Factor of 73205 and 73216?

Greatest common factor (GCF) of 73205 and 73216 is 11.

GCF(73205,73216) = 11

We will now calculate the prime factors of 73205 and 73216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73205 and 73216.

How to find the GCF of 73205 and 73216?

We will first find the prime factorization of 73205 and 73216. After we will calculate the factors of 73205 and 73216 and find the biggest common factor number .

Step-1: Prime Factorization of 73205

Prime factors of 73205 are 5, 11. Prime factorization of 73205 in exponential form is:

73205 = 5¹ × 11⁴

Step-2: 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-3: Factors of 73205

List of positive integer factors of 73205 that divides 73205 without a remainder.

1, 5, 11, 55, 121, 605, 1331, 6655, 14641

Step-4: Factors of 73216

List of positive integer factors of 73216 that divides 73205 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73205 and 73216. The biggest common factor number is the GCF number.
So the greatest common factor 73205 and 73216 is 11.

Also check out the Least Common Multiple of 73205 and 73216