What is the Greatest Common Factor of 73216 and 73229?

Greatest common factor (GCF) of 73216 and 73229 is 13.

GCF(73216,73229) = 13

We will now calculate the prime factors of 73216 and 73229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73216 and 73229.

How to find the GCF of 73216 and 73229?

We will first find the prime factorization of 73216 and 73229. After we will calculate the factors of 73216 and 73229 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 73229

Prime factors of 73229 are 13, 43, 131. Prime factorization of 73229 in exponential form is:

73229 = 13¹ × 43¹ × 131¹

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 73229

List of positive integer factors of 73229 that divides 73216 without a remainder.

1, 13, 43, 131, 559, 1703, 5633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73216 and 73229. The biggest common factor number is the GCF number.
So the greatest common factor 73216 and 73229 is 13.

Also check out the Least Common Multiple of 73216 and 73229