What is the Greatest Common Factor of 66288 and 66304?

Greatest common factor (GCF) of 66288 and 66304 is 16.

GCF(66288,66304) = 16

We will now calculate the prime factors of 66288 and 66304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66288 and 66304.

How to find the GCF of 66288 and 66304?

We will first find the prime factorization of 66288 and 66304. After we will calculate the factors of 66288 and 66304 and find the biggest common factor number .

Step-1: Prime Factorization of 66288

Prime factors of 66288 are 2, 3, 1381. Prime factorization of 66288 in exponential form is:

66288 = 2⁴ × 3¹ × 1381¹

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 66288

List of positive integer factors of 66288 that divides 66288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1381, 2762, 4143, 5524, 8286, 11048, 16572, 22096, 33144

Step-4: Factors of 66304

List of positive integer factors of 66304 that divides 66288 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 66288 and 66304. The biggest common factor number is the GCF number.
So the greatest common factor 66288 and 66304 is 16.

Also check out the Least Common Multiple of 66288 and 66304