What is the Greatest Common Factor of 73216 and 73234?

Greatest common factor (GCF) of 73216 and 73234 is 2.

GCF(73216,73234) = 2

We will now calculate the prime factors of 73216 and 73234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73216 and 73234.

How to find the GCF of 73216 and 73234?

We will first find the prime factorization of 73216 and 73234. After we will calculate the factors of 73216 and 73234 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 73234

Prime factors of 73234 are 2, 7, 5231. Prime factorization of 73234 in exponential form is:

73234 = 2¹ × 7¹ × 5231¹

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 73234

List of positive integer factors of 73234 that divides 73216 without a remainder.

1, 2, 7, 14, 5231, 10462, 36617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73216 and 73234. The biggest common factor number is the GCF number.
So the greatest common factor 73216 and 73234 is 2.

Also check out the Least Common Multiple of 73216 and 73234