What is the Greatest Common Factor of 6288 and 6304?

Greatest common factor (GCF) of 6288 and 6304 is 16.

GCF(6288,6304) = 16

We will now calculate the prime factors of 6288 and 6304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6288 and 6304.

How to find the GCF of 6288 and 6304?

We will first find the prime factorization of 6288 and 6304. After we will calculate the factors of 6288 and 6304 and find the biggest common factor number .

Step-1: Prime Factorization of 6288

Prime factors of 6288 are 2, 3, 131. Prime factorization of 6288 in exponential form is:

6288 = 2⁴ × 3¹ × 131¹

Step-2: Prime Factorization of 6304

Prime factors of 6304 are 2, 197. Prime factorization of 6304 in exponential form is:

6304 = 2⁵ × 197¹

Step-3: Factors of 6288

List of positive integer factors of 6288 that divides 6288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 131, 262, 393, 524, 786, 1048, 1572, 2096, 3144

Step-4: Factors of 6304

List of positive integer factors of 6304 that divides 6288 without a remainder.

1, 2, 4, 8, 16, 32, 197, 394, 788, 1576, 3152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6288 and 6304. The biggest common factor number is the GCF number.
So the greatest common factor 6288 and 6304 is 16.

Also check out the Least Common Multiple of 6288 and 6304