What is the Greatest Common Factor of 30668 and 30682?

Greatest common factor (GCF) of 30668 and 30682 is 2.

GCF(30668,30682) = 2

We will now calculate the prime factors of 30668 and 30682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30668 and 30682.

How to find the GCF of 30668 and 30682?

We will first find the prime factorization of 30668 and 30682. After we will calculate the factors of 30668 and 30682 and find the biggest common factor number .

Step-1: Prime Factorization of 30668

Prime factors of 30668 are 2, 11, 17, 41. Prime factorization of 30668 in exponential form is:

30668 = 2² × 11¹ × 17¹ × 41¹

Step-2: Prime Factorization of 30682

Prime factors of 30682 are 2, 23, 29. Prime factorization of 30682 in exponential form is:

30682 = 2¹ × 23² × 29¹

Step-3: Factors of 30668

List of positive integer factors of 30668 that divides 30668 without a remainder.

1, 2, 4, 11, 17, 22, 34, 41, 44, 68, 82, 164, 187, 374, 451, 697, 748, 902, 1394, 1804, 2788, 7667, 15334

Step-4: Factors of 30682

List of positive integer factors of 30682 that divides 30668 without a remainder.

1, 2, 23, 29, 46, 58, 529, 667, 1058, 1334, 15341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30668 and 30682. The biggest common factor number is the GCF number.
So the greatest common factor 30668 and 30682 is 2.

Also check out the Least Common Multiple of 30668 and 30682