What is the Greatest Common Factor of 72801 and 72810?

Greatest common factor (GCF) of 72801 and 72810 is 9.

GCF(72801,72810) = 9

We will now calculate the prime factors of 72801 and 72810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72801 and 72810.

How to find the GCF of 72801 and 72810?

We will first find the prime factorization of 72801 and 72810. After we will calculate the factors of 72801 and 72810 and find the biggest common factor number .

Step-1: Prime Factorization of 72801

Prime factors of 72801 are 3, 8089. Prime factorization of 72801 in exponential form is:

72801 = 3² × 8089¹

Step-2: 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-3: Factors of 72801

List of positive integer factors of 72801 that divides 72801 without a remainder.

1, 3, 9, 8089, 24267

Step-4: Factors of 72810

List of positive integer factors of 72810 that divides 72801 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72801 and 72810. The biggest common factor number is the GCF number.
So the greatest common factor 72801 and 72810 is 9.

Also check out the Least Common Multiple of 72801 and 72810