What is the Greatest Common Factor of 30834 and 30850?

Greatest common factor (GCF) of 30834 and 30850 is 2.

GCF(30834,30850) = 2

We will now calculate the prime factors of 30834 and 30850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30834 and 30850.

How to find the GCF of 30834 and 30850?

We will first find the prime factorization of 30834 and 30850. After we will calculate the factors of 30834 and 30850 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30850

Prime factors of 30850 are 2, 5, 617. Prime factorization of 30850 in exponential form is:

30850 = 2¹ × 5² × 617¹

Step-3: Factors of 30834

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

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

Step-4: Factors of 30850

List of positive integer factors of 30850 that divides 30834 without a remainder.

1, 2, 5, 10, 25, 50, 617, 1234, 3085, 6170, 15425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30834 and 30850. The biggest common factor number is the GCF number.
So the greatest common factor 30834 and 30850 is 2.

Also check out the Least Common Multiple of 30834 and 30850