What is the Greatest Common Factor of 72810 and 72825?

Greatest common factor (GCF) of 72810 and 72825 is 15.

GCF(72810,72825) = 15

We will now calculate the prime factors of 72810 and 72825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72810 and 72825.

How to find the GCF of 72810 and 72825?

We will first find the prime factorization of 72810 and 72825. After we will calculate the factors of 72810 and 72825 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 72825

Prime factors of 72825 are 3, 5, 971. Prime factorization of 72825 in exponential form is:

72825 = 3¹ × 5² × 971¹

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 72825

List of positive integer factors of 72825 that divides 72810 without a remainder.

1, 3, 5, 15, 25, 75, 971, 2913, 4855, 14565, 24275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72810 and 72825. The biggest common factor number is the GCF number.
So the greatest common factor 72810 and 72825 is 15.

Also check out the Least Common Multiple of 72810 and 72825