What is the Greatest Common Factor of 30804 and 30813?

Greatest common factor (GCF) of 30804 and 30813 is 3.

GCF(30804,30813) = 3

We will now calculate the prime factors of 30804 and 30813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30804 and 30813.

How to find the GCF of 30804 and 30813?

We will first find the prime factorization of 30804 and 30813. After we will calculate the factors of 30804 and 30813 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30813

Prime factors of 30813 are 3, 10271. Prime factorization of 30813 in exponential form is:

30813 = 3¹ × 10271¹

Step-3: Factors of 30804

List of positive integer factors of 30804 that divides 30804 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

Step-4: Factors of 30813

List of positive integer factors of 30813 that divides 30804 without a remainder.

1, 3, 10271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30804 and 30813. The biggest common factor number is the GCF number.
So the greatest common factor 30804 and 30813 is 3.

Also check out the Least Common Multiple of 30804 and 30813