What is the Greatest Common Factor of 30800 and 30811?

Greatest common factor (GCF) of 30800 and 30811 is 11.

GCF(30800,30811) = 11

We will now calculate the prime factors of 30800 and 30811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30800 and 30811.

How to find the GCF of 30800 and 30811?

We will first find the prime factorization of 30800 and 30811. After we will calculate the factors of 30800 and 30811 and find the biggest common factor number .

Step-1: Prime Factorization of 30800

Prime factors of 30800 are 2, 5, 7, 11. Prime factorization of 30800 in exponential form is:

30800 = 2⁴ × 5² × 7¹ × 11¹

Step-2: Prime Factorization of 30811

Prime factors of 30811 are 11, 2801. Prime factorization of 30811 in exponential form is:

30811 = 11¹ × 2801¹

Step-3: Factors of 30800

List of positive integer factors of 30800 that divides 30800 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 25, 28, 35, 40, 44, 50, 55, 56, 70, 77, 80, 88, 100, 110, 112, 140, 154, 175, 176, 200, 220, 275, 280, 308, 350, 385, 400, 440, 550, 560, 616, 700, 770, 880, 1100, 1232, 1400, 1540, 1925, 2200, 2800, 3080, 3850, 4400, 6160, 7700, 15400

Step-4: Factors of 30811

List of positive integer factors of 30811 that divides 30800 without a remainder.

1, 11, 2801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30800 and 30811. The biggest common factor number is the GCF number.
So the greatest common factor 30800 and 30811 is 11.

Also check out the Least Common Multiple of 30800 and 30811