What is the Greatest Common Factor of 73216 and 73228?

Greatest common factor (GCF) of 73216 and 73228 is 4.

GCF(73216,73228) = 4

We will now calculate the prime factors of 73216 and 73228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73216 and 73228.

How to find the GCF of 73216 and 73228?

We will first find the prime factorization of 73216 and 73228. After we will calculate the factors of 73216 and 73228 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 73228

Prime factors of 73228 are 2, 18307. Prime factorization of 73228 in exponential form is:

73228 = 2² × 18307¹

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 73228

List of positive integer factors of 73228 that divides 73216 without a remainder.

1, 2, 4, 18307, 36614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73216 and 73228. The biggest common factor number is the GCF number.
So the greatest common factor 73216 and 73228 is 4.

Also check out the Least Common Multiple of 73216 and 73228