What is the Greatest Common Factor of 78645 and 78660?

Greatest common factor (GCF) of 78645 and 78660 is 15.

GCF(78645,78660) = 15

We will now calculate the prime factors of 78645 and 78660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78645 and 78660.

How to find the GCF of 78645 and 78660?

We will first find the prime factorization of 78645 and 78660. After we will calculate the factors of 78645 and 78660 and find the biggest common factor number .

Step-1: Prime Factorization of 78645

Prime factors of 78645 are 3, 5, 7, 107. Prime factorization of 78645 in exponential form is:

78645 = 3¹ × 5¹ × 7² × 107¹

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 78645

List of positive integer factors of 78645 that divides 78645 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 107, 147, 245, 321, 535, 735, 749, 1605, 2247, 3745, 5243, 11235, 15729, 26215

Step-4: Factors of 78660

List of positive integer factors of 78660 that divides 78645 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 78645 and 78660. The biggest common factor number is the GCF number.
So the greatest common factor 78645 and 78660 is 15.

Also check out the Least Common Multiple of 78645 and 78660