What is the Greatest Common Factor of 30810 and 30819?

Greatest common factor (GCF) of 30810 and 30819 is 3.

GCF(30810,30819) = 3

We will now calculate the prime factors of 30810 and 30819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30810 and 30819.

How to find the GCF of 30810 and 30819?

We will first find the prime factorization of 30810 and 30819. After we will calculate the factors of 30810 and 30819 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 30819

Prime factors of 30819 are 3, 10273. Prime factorization of 30819 in exponential form is:

30819 = 3¹ × 10273¹

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 30819

List of positive integer factors of 30819 that divides 30810 without a remainder.

1, 3, 10273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30810 and 30819. The biggest common factor number is the GCF number.
So the greatest common factor 30810 and 30819 is 3.

Also check out the Least Common Multiple of 30810 and 30819