What is the Greatest Common Factor of 30828 and 30835?

Greatest common factor (GCF) of 30828 and 30835 is 7.

GCF(30828,30835) = 7

We will now calculate the prime factors of 30828 and 30835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30828 and 30835.

How to find the GCF of 30828 and 30835?

We will first find the prime factorization of 30828 and 30835. After we will calculate the factors of 30828 and 30835 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 30835

Prime factors of 30835 are 5, 7, 881. Prime factorization of 30835 in exponential form is:

30835 = 5¹ × 7¹ × 881¹

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 30835

List of positive integer factors of 30835 that divides 30828 without a remainder.

1, 5, 7, 35, 881, 4405, 6167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30828 and 30835. The biggest common factor number is the GCF number.
So the greatest common factor 30828 and 30835 is 7.

Also check out the Least Common Multiple of 30828 and 30835