What is the Greatest Common Factor of 78660 and 78672?

Greatest common factor (GCF) of 78660 and 78672 is 12.

GCF(78660,78672) = 12

We will now calculate the prime factors of 78660 and 78672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78660 and 78672.

How to find the GCF of 78660 and 78672?

We will first find the prime factorization of 78660 and 78672. After we will calculate the factors of 78660 and 78672 and find the biggest common factor number .

Step-1: Prime Factorization of 78660

Prime factors of 78660 are 2, 3, 5, 19, 23. Prime factorization of 78660 in exponential form is:

78660 = 2² × 3² × 5¹ × 19¹ × 23¹

Step-2: Prime Factorization of 78672

Prime factors of 78672 are 2, 3, 11, 149. Prime factorization of 78672 in exponential form is:

78672 = 2⁴ × 3¹ × 11¹ × 149¹

Step-3: Factors of 78660

List of positive integer factors of 78660 that divides 78660 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 23, 30, 36, 38, 45, 46, 57, 60, 69, 76, 90, 92, 95, 114, 115, 138, 171, 180, 190, 207, 228, 230, 276, 285, 342, 345, 380, 414, 437, 460, 570, 684, 690, 828, 855, 874, 1035, 1140, 1311, 1380, 1710, 1748, 2070, 2185, 2622, 3420, 3933, 4140, 4370, 5244, 6555, 7866, 8740, 13110, 15732, 19665, 26220, 39330

Step-4: Factors of 78672

List of positive integer factors of 78672 that divides 78660 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 149, 176, 264, 298, 447, 528, 596, 894, 1192, 1639, 1788, 2384, 3278, 3576, 4917, 6556, 7152, 9834, 13112, 19668, 26224, 39336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78660 and 78672. The biggest common factor number is the GCF number.
So the greatest common factor 78660 and 78672 is 12.

Also check out the Least Common Multiple of 78660 and 78672