What is the Greatest Common Factor of 63336 and 63348?

Greatest common factor (GCF) of 63336 and 63348 is 12.

GCF(63336,63348) = 12

We will now calculate the prime factors of 63336 and 63348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63336 and 63348.

How to find the GCF of 63336 and 63348?

We will first find the prime factorization of 63336 and 63348. After we will calculate the factors of 63336 and 63348 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63348

Prime factors of 63348 are 2, 3, 5279. Prime factorization of 63348 in exponential form is:

63348 = 2² × 3¹ × 5279¹

Step-3: Factors of 63336

List of positive integer factors of 63336 that divides 63336 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

Step-4: Factors of 63348

List of positive integer factors of 63348 that divides 63336 without a remainder.

1, 2, 3, 4, 6, 12, 5279, 10558, 15837, 21116, 31674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63336 and 63348. The biggest common factor number is the GCF number.
So the greatest common factor 63336 and 63348 is 12.

Also check out the Least Common Multiple of 63336 and 63348