What is the Greatest Common Factor of 39324 and 39336?

Greatest common factor (GCF) of 39324 and 39336 is 12.

GCF(39324,39336) = 12

We will now calculate the prime factors of 39324 and 39336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39324 and 39336.

How to find the GCF of 39324 and 39336?

We will first find the prime factorization of 39324 and 39336. After we will calculate the factors of 39324 and 39336 and find the biggest common factor number .

Step-1: Prime Factorization of 39324

Prime factors of 39324 are 2, 3, 29, 113. Prime factorization of 39324 in exponential form is:

39324 = 2² × 3¹ × 29¹ × 113¹

Step-2: Prime Factorization of 39336

Prime factors of 39336 are 2, 3, 11, 149. Prime factorization of 39336 in exponential form is:

39336 = 2³ × 3¹ × 11¹ × 149¹

Step-3: Factors of 39324

List of positive integer factors of 39324 that divides 39324 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 113, 116, 174, 226, 339, 348, 452, 678, 1356, 3277, 6554, 9831, 13108, 19662

Step-4: Factors of 39336

List of positive integer factors of 39336 that divides 39324 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 149, 264, 298, 447, 596, 894, 1192, 1639, 1788, 3278, 3576, 4917, 6556, 9834, 13112, 19668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39324 and 39336. The biggest common factor number is the GCF number.
So the greatest common factor 39324 and 39336 is 12.

Also check out the Least Common Multiple of 39324 and 39336