What is the Greatest Common Factor of 30784 and 30798?

Greatest common factor (GCF) of 30784 and 30798 is 2.

GCF(30784,30798) = 2

We will now calculate the prime factors of 30784 and 30798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30784 and 30798.

How to find the GCF of 30784 and 30798?

We will first find the prime factorization of 30784 and 30798. After we will calculate the factors of 30784 and 30798 and find the biggest common factor number .

Step-1: Prime Factorization of 30784

Prime factors of 30784 are 2, 13, 37. Prime factorization of 30784 in exponential form is:

30784 = 2⁶ × 13¹ × 37¹

Step-2: Prime Factorization of 30798

Prime factors of 30798 are 2, 3, 29, 59. Prime factorization of 30798 in exponential form is:

30798 = 2¹ × 3² × 29¹ × 59¹

Step-3: Factors of 30784

List of positive integer factors of 30784 that divides 30784 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 37, 52, 64, 74, 104, 148, 208, 296, 416, 481, 592, 832, 962, 1184, 1924, 2368, 3848, 7696, 15392

Step-4: Factors of 30798

List of positive integer factors of 30798 that divides 30784 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 59, 87, 118, 174, 177, 261, 354, 522, 531, 1062, 1711, 3422, 5133, 10266, 15399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30784 and 30798. The biggest common factor number is the GCF number.
So the greatest common factor 30784 and 30798 is 2.

Also check out the Least Common Multiple of 30784 and 30798