What is the Greatest Common Factor of 63323 and 63336?

Greatest common factor (GCF) of 63323 and 63336 is 13.

GCF(63323,63336) = 13

We will now calculate the prime factors of 63323 and 63336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63323 and 63336.

How to find the GCF of 63323 and 63336?

We will first find the prime factorization of 63323 and 63336. After we will calculate the factors of 63323 and 63336 and find the biggest common factor number .

Step-1: Prime Factorization of 63323

Prime factors of 63323 are 13, 4871. Prime factorization of 63323 in exponential form is:

63323 = 13¹ × 4871¹

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 63323

List of positive integer factors of 63323 that divides 63323 without a remainder.

1, 13, 4871

Step-4: Factors of 63336

List of positive integer factors of 63336 that divides 63323 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 63323 and 63336. The biggest common factor number is the GCF number.
So the greatest common factor 63323 and 63336 is 13.

Also check out the Least Common Multiple of 63323 and 63336