What is the Greatest Common Factor of 30821 and 30834?

Greatest common factor (GCF) of 30821 and 30834 is 1.

GCF(30821,30834) = 1

We will now calculate the prime factors of 30821 and 30834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30821 and 30834.

How to find the GCF of 30821 and 30834?

We will first find the prime factorization of 30821 and 30834. After we will calculate the factors of 30821 and 30834 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 30834

Prime factors of 30834 are 2, 3, 571. Prime factorization of 30834 in exponential form is:

30834 = 2¹ × 3³ × 571¹

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 30834

List of positive integer factors of 30834 that divides 30821 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 571, 1142, 1713, 3426, 5139, 10278, 15417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30821 and 30834. The biggest common factor number is the GCF number.
So the greatest common factor 30821 and 30834 is 1.

Also check out the Least Common Multiple of 30821 and 30834