What is the Greatest Common Factor of 66286 and 66304?

Greatest common factor (GCF) of 66286 and 66304 is 2.

GCF(66286,66304) = 2

We will now calculate the prime factors of 66286 and 66304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66286 and 66304.

How to find the GCF of 66286 and 66304?

We will first find the prime factorization of 66286 and 66304. After we will calculate the factors of 66286 and 66304 and find the biggest common factor number .

Step-1: Prime Factorization of 66286

Prime factors of 66286 are 2, 11, 23, 131. Prime factorization of 66286 in exponential form is:

66286 = 2¹ × 11¹ × 23¹ × 131¹

Step-2: 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-3: Factors of 66286

List of positive integer factors of 66286 that divides 66286 without a remainder.

1, 2, 11, 22, 23, 46, 131, 253, 262, 506, 1441, 2882, 3013, 6026, 33143

Step-4: Factors of 66304

List of positive integer factors of 66304 that divides 66286 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66286 and 66304. The biggest common factor number is the GCF number.
So the greatest common factor 66286 and 66304 is 2.

Also check out the Least Common Multiple of 66286 and 66304