What is the Greatest Common Factor of 78660 and 78669?

Greatest common factor (GCF) of 78660 and 78669 is 9.

GCF(78660,78669) = 9

We will now calculate the prime factors of 78660 and 78669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78660 and 78669.

How to find the GCF of 78660 and 78669?

We will first find the prime factorization of 78660 and 78669. After we will calculate the factors of 78660 and 78669 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 78669

Prime factors of 78669 are 3, 8741. Prime factorization of 78669 in exponential form is:

78669 = 3² × 8741¹

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 78669

List of positive integer factors of 78669 that divides 78660 without a remainder.

1, 3, 9, 8741, 26223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78660 and 78669. The biggest common factor number is the GCF number.
So the greatest common factor 78660 and 78669 is 9.

Also check out the Least Common Multiple of 78660 and 78669