What is the Greatest Common Factor of 30784 and 30804?

Greatest common factor (GCF) of 30784 and 30804 is 4.

GCF(30784,30804) = 4

We will now calculate the prime factors of 30784 and 30804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30784 and 30804.

How to find the GCF of 30784 and 30804?

We will first find the prime factorization of 30784 and 30804. After we will calculate the factors of 30784 and 30804 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 30804

Prime factors of 30804 are 2, 3, 17, 151. Prime factorization of 30804 in exponential form is:

30804 = 2² × 3¹ × 17¹ × 151¹

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 30804

List of positive integer factors of 30804 that divides 30784 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 151, 204, 302, 453, 604, 906, 1812, 2567, 5134, 7701, 10268, 15402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30784 and 30804. The biggest common factor number is the GCF number.
So the greatest common factor 30784 and 30804 is 4.

Also check out the Least Common Multiple of 30784 and 30804