What is the Greatest Common Factor of 30821 and 30838?

Greatest common factor (GCF) of 30821 and 30838 is 17.

GCF(30821,30838) = 17

We will now calculate the prime factors of 30821 and 30838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30821 and 30838.

How to find the GCF of 30821 and 30838?

We will first find the prime factorization of 30821 and 30838. After we will calculate the factors of 30821 and 30838 and find the biggest common factor number .

Step-1: Prime Factorization of 30821

Prime factors of 30821 are 7, 17, 37. Prime factorization of 30821 in exponential form is:

30821 = 7² × 17¹ × 37¹

Step-2: Prime Factorization of 30838

Prime factors of 30838 are 2, 17, 907. Prime factorization of 30838 in exponential form is:

30838 = 2¹ × 17¹ × 907¹

Step-3: Factors of 30821

List of positive integer factors of 30821 that divides 30821 without a remainder.

1, 7, 17, 37, 49, 119, 259, 629, 833, 1813, 4403

Step-4: Factors of 30838

List of positive integer factors of 30838 that divides 30821 without a remainder.

1, 2, 17, 34, 907, 1814, 15419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30821 and 30838. The biggest common factor number is the GCF number.
So the greatest common factor 30821 and 30838 is 17.

Also check out the Least Common Multiple of 30821 and 30838