What is the Greatest Common Factor of 78660 and 78673?

Greatest common factor (GCF) of 78660 and 78673 is 1.

GCF(78660,78673) = 1

We will now calculate the prime factors of 78660 and 78673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78660 and 78673.

How to find the GCF of 78660 and 78673?

We will first find the prime factorization of 78660 and 78673. After we will calculate the factors of 78660 and 78673 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 78673

Prime factors of 78673 are 7, 11239. Prime factorization of 78673 in exponential form is:

78673 = 7¹ × 11239¹

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 78673

List of positive integer factors of 78673 that divides 78660 without a remainder.

1, 7, 11239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78660 and 78673. The biggest common factor number is the GCF number.
So the greatest common factor 78660 and 78673 is 1.

Also check out the Least Common Multiple of 78660 and 78673