What is the Greatest Common Factor of 30821 and 30839?

Greatest common factor (GCF) of 30821 and 30839 is 1.

GCF(30821,30839) = 1

We will now calculate the prime factors of 30821 and 30839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30821 and 30839.

How to find the GCF of 30821 and 30839?

We will first find the prime factorization of 30821 and 30839. After we will calculate the factors of 30821 and 30839 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 30839

Prime factors of 30839 are 30839. Prime factorization of 30839 in exponential form is:

30839 = 30839¹

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 30839

List of positive integer factors of 30839 that divides 30821 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30821 and 30839. The biggest common factor number is the GCF number.
So the greatest common factor 30821 and 30839 is 1.

Also check out the Least Common Multiple of 30821 and 30839