What is the Greatest Common Factor of 66304 and 66318?

Greatest common factor (GCF) of 66304 and 66318 is 14.

GCF(66304,66318) = 14

We will now calculate the prime factors of 66304 and 66318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66304 and 66318.

How to find the GCF of 66304 and 66318?

We will first find the prime factorization of 66304 and 66318. After we will calculate the factors of 66304 and 66318 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 66318

Prime factors of 66318 are 2, 3, 7, 1579. Prime factorization of 66318 in exponential form is:

66318 = 2¹ × 3¹ × 7¹ × 1579¹

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 66318

List of positive integer factors of 66318 that divides 66304 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1579, 3158, 4737, 9474, 11053, 22106, 33159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66304 and 66318. The biggest common factor number is the GCF number.
So the greatest common factor 66304 and 66318 is 14.

Also check out the Least Common Multiple of 66304 and 66318