What is the Greatest Common Factor of 72810 and 72816?

Greatest common factor (GCF) of 72810 and 72816 is 6.

GCF(72810,72816) = 6

We will now calculate the prime factors of 72810 and 72816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72810 and 72816.

How to find the GCF of 72810 and 72816?

We will first find the prime factorization of 72810 and 72816. After we will calculate the factors of 72810 and 72816 and find the biggest common factor number .

Step-1: Prime Factorization of 72810

Prime factors of 72810 are 2, 3, 5, 809. Prime factorization of 72810 in exponential form is:

72810 = 2¹ × 3² × 5¹ × 809¹

Step-2: Prime Factorization of 72816

Prime factors of 72816 are 2, 3, 37, 41. Prime factorization of 72816 in exponential form is:

72816 = 2⁴ × 3¹ × 37¹ × 41¹

Step-3: Factors of 72810

List of positive integer factors of 72810 that divides 72810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 809, 1618, 2427, 4045, 4854, 7281, 8090, 12135, 14562, 24270, 36405

Step-4: Factors of 72816

List of positive integer factors of 72816 that divides 72810 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 41, 48, 74, 82, 111, 123, 148, 164, 222, 246, 296, 328, 444, 492, 592, 656, 888, 984, 1517, 1776, 1968, 3034, 4551, 6068, 9102, 12136, 18204, 24272, 36408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72810 and 72816. The biggest common factor number is the GCF number.
So the greatest common factor 72810 and 72816 is 6.

Also check out the Least Common Multiple of 72810 and 72816