What is the Greatest Common Factor of 78642 and 78660?

Greatest common factor (GCF) of 78642 and 78660 is 18.

GCF(78642,78660) = 18

We will now calculate the prime factors of 78642 and 78660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78642 and 78660.

How to find the GCF of 78642 and 78660?

We will first find the prime factorization of 78642 and 78660. After we will calculate the factors of 78642 and 78660 and find the biggest common factor number .

Step-1: Prime Factorization of 78642

Prime factors of 78642 are 2, 3, 17, 257. Prime factorization of 78642 in exponential form is:

78642 = 2¹ × 3² × 17¹ × 257¹

Step-2: 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-3: Factors of 78642

List of positive integer factors of 78642 that divides 78642 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 257, 306, 514, 771, 1542, 2313, 4369, 4626, 8738, 13107, 26214, 39321

Step-4: Factors of 78660

List of positive integer factors of 78660 that divides 78642 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78642 and 78660. The biggest common factor number is the GCF number.
So the greatest common factor 78642 and 78660 is 18.

Also check out the Least Common Multiple of 78642 and 78660