What is the Greatest Common Factor of 78714 and 78720?

Greatest common factor (GCF) of 78714 and 78720 is 6.

GCF(78714,78720) = 6

We will now calculate the prime factors of 78714 and 78720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78714 and 78720.

How to find the GCF of 78714 and 78720?

We will first find the prime factorization of 78714 and 78720. After we will calculate the factors of 78714 and 78720 and find the biggest common factor number .

Step-1: Prime Factorization of 78714

Prime factors of 78714 are 2, 3, 4373. Prime factorization of 78714 in exponential form is:

78714 = 2¹ × 3² × 4373¹

Step-2: Prime Factorization of 78720

Prime factors of 78720 are 2, 3, 5, 41. Prime factorization of 78720 in exponential form is:

78720 = 2⁷ × 3¹ × 5¹ × 41¹

Step-3: Factors of 78714

List of positive integer factors of 78714 that divides 78714 without a remainder.

1, 2, 3, 6, 9, 18, 4373, 8746, 13119, 26238, 39357

Step-4: Factors of 78720

List of positive integer factors of 78720 that divides 78714 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 41, 48, 60, 64, 80, 82, 96, 120, 123, 128, 160, 164, 192, 205, 240, 246, 320, 328, 384, 410, 480, 492, 615, 640, 656, 820, 960, 984, 1230, 1312, 1640, 1920, 1968, 2460, 2624, 3280, 3936, 4920, 5248, 6560, 7872, 9840, 13120, 15744, 19680, 26240, 39360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78714 and 78720. The biggest common factor number is the GCF number.
So the greatest common factor 78714 and 78720 is 6.

Also check out the Least Common Multiple of 78714 and 78720