What is the Greatest Common Factor of 66304 and 66322?

Greatest common factor (GCF) of 66304 and 66322 is 2.

GCF(66304,66322) = 2

We will now calculate the prime factors of 66304 and 66322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66304 and 66322.

How to find the GCF of 66304 and 66322?

We will first find the prime factorization of 66304 and 66322. After we will calculate the factors of 66304 and 66322 and find the biggest common factor number .

Step-1: Prime Factorization of 66304

Prime factors of 66304 are 2, 7, 37. Prime factorization of 66304 in exponential form is:

66304 = 2⁸ × 7¹ × 37¹

Step-2: Prime Factorization of 66322

Prime factors of 66322 are 2, 33161. Prime factorization of 66322 in exponential form is:

66322 = 2¹ × 33161¹

Step-3: Factors of 66304

List of positive integer factors of 66304 that divides 66304 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 64, 74, 112, 128, 148, 224, 256, 259, 296, 448, 518, 592, 896, 1036, 1184, 1792, 2072, 2368, 4144, 4736, 8288, 9472, 16576, 33152

Step-4: Factors of 66322

List of positive integer factors of 66322 that divides 66304 without a remainder.

1, 2, 33161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66304 and 66322. The biggest common factor number is the GCF number.
So the greatest common factor 66304 and 66322 is 2.

Also check out the Least Common Multiple of 66304 and 66322