What is the Greatest Common Factor of 73216 and 73227?

Greatest common factor (GCF) of 73216 and 73227 is 11.

GCF(73216,73227) = 11

We will now calculate the prime factors of 73216 and 73227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73216 and 73227.

How to find the GCF of 73216 and 73227?

We will first find the prime factorization of 73216 and 73227. After we will calculate the factors of 73216 and 73227 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 73227

Prime factors of 73227 are 3, 7, 11, 317. Prime factorization of 73227 in exponential form is:

73227 = 3¹ × 7¹ × 11¹ × 317¹

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 73227

List of positive integer factors of 73227 that divides 73216 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 317, 951, 2219, 3487, 6657, 10461, 24409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73216 and 73227. The biggest common factor number is the GCF number.
So the greatest common factor 73216 and 73227 is 11.

Also check out the Least Common Multiple of 73216 and 73227