What is the Greatest Common Factor of 30666 and 30685?

Greatest common factor (GCF) of 30666 and 30685 is 19.

GCF(30666,30685) = 19

We will now calculate the prime factors of 30666 and 30685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30666 and 30685.

How to find the GCF of 30666 and 30685?

We will first find the prime factorization of 30666 and 30685. After we will calculate the factors of 30666 and 30685 and find the biggest common factor number .

Step-1: Prime Factorization of 30666

Prime factors of 30666 are 2, 3, 19, 269. Prime factorization of 30666 in exponential form is:

30666 = 2¹ × 3¹ × 19¹ × 269¹

Step-2: Prime Factorization of 30685

Prime factors of 30685 are 5, 17, 19. Prime factorization of 30685 in exponential form is:

30685 = 5¹ × 17¹ × 19²

Step-3: Factors of 30666

List of positive integer factors of 30666 that divides 30666 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 269, 538, 807, 1614, 5111, 10222, 15333

Step-4: Factors of 30685

List of positive integer factors of 30685 that divides 30666 without a remainder.

1, 5, 17, 19, 85, 95, 323, 361, 1615, 1805, 6137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30666 and 30685. The biggest common factor number is the GCF number.
So the greatest common factor 30666 and 30685 is 19.

Also check out the Least Common Multiple of 30666 and 30685