What is the Greatest Common Factor of 63328 and 63336?

Greatest common factor (GCF) of 63328 and 63336 is 8.

GCF(63328,63336) = 8

We will now calculate the prime factors of 63328 and 63336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63328 and 63336.

How to find the GCF of 63328 and 63336?

We will first find the prime factorization of 63328 and 63336. After we will calculate the factors of 63328 and 63336 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 63336

Prime factors of 63336 are 2, 3, 7, 13, 29. Prime factorization of 63336 in exponential form is:

63336 = 2³ × 3¹ × 7¹ × 13¹ × 29¹

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 63336

List of positive integer factors of 63336 that divides 63328 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 29, 39, 42, 52, 56, 58, 78, 84, 87, 91, 104, 116, 156, 168, 174, 182, 203, 232, 273, 312, 348, 364, 377, 406, 546, 609, 696, 728, 754, 812, 1092, 1131, 1218, 1508, 1624, 2184, 2262, 2436, 2639, 3016, 4524, 4872, 5278, 7917, 9048, 10556, 15834, 21112, 31668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63328 and 63336. The biggest common factor number is the GCF number.
So the greatest common factor 63328 and 63336 is 8.

Also check out the Least Common Multiple of 63328 and 63336