What is the Greatest Common Factor of 78720 and 78730?

Greatest common factor (GCF) of 78720 and 78730 is 10.

GCF(78720,78730) = 10

We will now calculate the prime factors of 78720 and 78730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78720 and 78730.

How to find the GCF of 78720 and 78730?

We will first find the prime factorization of 78720 and 78730. After we will calculate the factors of 78720 and 78730 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78730

Prime factors of 78730 are 2, 5, 7873. Prime factorization of 78730 in exponential form is:

78730 = 2¹ × 5¹ × 7873¹

Step-3: Factors of 78720

List of positive integer factors of 78720 that divides 78720 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

Step-4: Factors of 78730

List of positive integer factors of 78730 that divides 78720 without a remainder.

1, 2, 5, 10, 7873, 15746, 39365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78720 and 78730. The biggest common factor number is the GCF number.
So the greatest common factor 78720 and 78730 is 10.

Also check out the Least Common Multiple of 78720 and 78730