What is the Greatest Common Factor of 63328 and 63344?

Greatest common factor (GCF) of 63328 and 63344 is 16.

GCF(63328,63344) = 16

We will now calculate the prime factors of 63328 and 63344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63328 and 63344.

How to find the GCF of 63328 and 63344?

We will first find the prime factorization of 63328 and 63344. After we will calculate the factors of 63328 and 63344 and find the biggest common factor number .

Step-1: Prime Factorization of 63328

Prime factors of 63328 are 2, 1979. Prime factorization of 63328 in exponential form is:

63328 = 2⁵ × 1979¹

Step-2: Prime Factorization of 63344

Prime factors of 63344 are 2, 37, 107. Prime factorization of 63344 in exponential form is:

63344 = 2⁴ × 37¹ × 107¹

Step-3: Factors of 63328

List of positive integer factors of 63328 that divides 63328 without a remainder.

1, 2, 4, 8, 16, 32, 1979, 3958, 7916, 15832, 31664

Step-4: Factors of 63344

List of positive integer factors of 63344 that divides 63328 without a remainder.

1, 2, 4, 8, 16, 37, 74, 107, 148, 214, 296, 428, 592, 856, 1712, 3959, 7918, 15836, 31672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63328 and 63344. The biggest common factor number is the GCF number.
So the greatest common factor 63328 and 63344 is 16.

Also check out the Least Common Multiple of 63328 and 63344