What is the Greatest Common Factor of 30685 and 30704?

Greatest common factor (GCF) of 30685 and 30704 is 19.

GCF(30685,30704) = 19

We will now calculate the prime factors of 30685 and 30704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30685 and 30704.

How to find the GCF of 30685 and 30704?

We will first find the prime factorization of 30685 and 30704. After we will calculate the factors of 30685 and 30704 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30704

Prime factors of 30704 are 2, 19, 101. Prime factorization of 30704 in exponential form is:

30704 = 2⁴ × 19¹ × 101¹

Step-3: Factors of 30685

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

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

Step-4: Factors of 30704

List of positive integer factors of 30704 that divides 30685 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 101, 152, 202, 304, 404, 808, 1616, 1919, 3838, 7676, 15352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30685 and 30704. The biggest common factor number is the GCF number.
So the greatest common factor 30685 and 30704 is 19.

Also check out the Least Common Multiple of 30685 and 30704