What is the Greatest Common Factor of 30810 and 30825?

Greatest common factor (GCF) of 30810 and 30825 is 15.

GCF(30810,30825) = 15

We will now calculate the prime factors of 30810 and 30825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30810 and 30825.

How to find the GCF of 30810 and 30825?

We will first find the prime factorization of 30810 and 30825. After we will calculate the factors of 30810 and 30825 and find the biggest common factor number .

Step-1: Prime Factorization of 30810

Prime factors of 30810 are 2, 3, 5, 13, 79. Prime factorization of 30810 in exponential form is:

30810 = 2¹ × 3¹ × 5¹ × 13¹ × 79¹

Step-2: Prime Factorization of 30825

Prime factors of 30825 are 3, 5, 137. Prime factorization of 30825 in exponential form is:

30825 = 3² × 5² × 137¹

Step-3: Factors of 30810

List of positive integer factors of 30810 that divides 30810 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 79, 130, 158, 195, 237, 390, 395, 474, 790, 1027, 1185, 2054, 2370, 3081, 5135, 6162, 10270, 15405

Step-4: Factors of 30825

List of positive integer factors of 30825 that divides 30810 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 137, 225, 411, 685, 1233, 2055, 3425, 6165, 10275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30810 and 30825. The biggest common factor number is the GCF number.
So the greatest common factor 30810 and 30825 is 15.

Also check out the Least Common Multiple of 30810 and 30825