What is the Greatest Common Factor of 30828 and 30846?

Greatest common factor (GCF) of 30828 and 30846 is 6.

GCF(30828,30846) = 6

We will now calculate the prime factors of 30828 and 30846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30828 and 30846.

How to find the GCF of 30828 and 30846?

We will first find the prime factorization of 30828 and 30846. After we will calculate the factors of 30828 and 30846 and find the biggest common factor number .

Step-1: Prime Factorization of 30828

Prime factors of 30828 are 2, 3, 7, 367. Prime factorization of 30828 in exponential form is:

30828 = 2² × 3¹ × 7¹ × 367¹

Step-2: Prime Factorization of 30846

Prime factors of 30846 are 2, 3, 53, 97. Prime factorization of 30846 in exponential form is:

30846 = 2¹ × 3¹ × 53¹ × 97¹

Step-3: Factors of 30828

List of positive integer factors of 30828 that divides 30828 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 367, 734, 1101, 1468, 2202, 2569, 4404, 5138, 7707, 10276, 15414

Step-4: Factors of 30846

List of positive integer factors of 30846 that divides 30828 without a remainder.

1, 2, 3, 6, 53, 97, 106, 159, 194, 291, 318, 582, 5141, 10282, 15423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30828 and 30846. The biggest common factor number is the GCF number.
So the greatest common factor 30828 and 30846 is 6.

Also check out the Least Common Multiple of 30828 and 30846