What is the Greatest Common Factor of 30797 and 30810?

Greatest common factor (GCF) of 30797 and 30810 is 13.

GCF(30797,30810) = 13

We will now calculate the prime factors of 30797 and 30810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30797 and 30810.

How to find the GCF of 30797 and 30810?

We will first find the prime factorization of 30797 and 30810. After we will calculate the factors of 30797 and 30810 and find the biggest common factor number .

Step-1: Prime Factorization of 30797

Prime factors of 30797 are 13, 23, 103. Prime factorization of 30797 in exponential form is:

30797 = 13¹ × 23¹ × 103¹

Step-2: 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-3: Factors of 30797

List of positive integer factors of 30797 that divides 30797 without a remainder.

1, 13, 23, 103, 299, 1339, 2369

Step-4: Factors of 30810

List of positive integer factors of 30810 that divides 30797 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30797 and 30810. The biggest common factor number is the GCF number.
So the greatest common factor 30797 and 30810 is 13.

Also check out the Least Common Multiple of 30797 and 30810