What is the Greatest Common Factor of 63324 and 63336?

Greatest common factor (GCF) of 63324 and 63336 is 12.

GCF(63324,63336) = 12

We will now calculate the prime factors of 63324 and 63336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63324 and 63336.

How to find the GCF of 63324 and 63336?

We will first find the prime factorization of 63324 and 63336. After we will calculate the factors of 63324 and 63336 and find the biggest common factor number .

Step-1: Prime Factorization of 63324

Prime factors of 63324 are 2, 3, 1759. Prime factorization of 63324 in exponential form is:

63324 = 2² × 3² × 1759¹

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 63324

List of positive integer factors of 63324 that divides 63324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1759, 3518, 5277, 7036, 10554, 15831, 21108, 31662

Step-4: Factors of 63336

List of positive integer factors of 63336 that divides 63324 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 63324 and 63336. The biggest common factor number is the GCF number.
So the greatest common factor 63324 and 63336 is 12.

Also check out the Least Common Multiple of 63324 and 63336