What is the Greatest Common Factor of 30800 and 30817?

Greatest common factor (GCF) of 30800 and 30817 is 1.

GCF(30800,30817) = 1

We will now calculate the prime factors of 30800 and 30817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30800 and 30817.

How to find the GCF of 30800 and 30817?

We will first find the prime factorization of 30800 and 30817. After we will calculate the factors of 30800 and 30817 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 30817

Prime factors of 30817 are 30817. Prime factorization of 30817 in exponential form is:

30817 = 30817¹

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 30817

List of positive integer factors of 30817 that divides 30800 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30800 and 30817. The biggest common factor number is the GCF number.
So the greatest common factor 30800 and 30817 is 1.

Also check out the Least Common Multiple of 30800 and 30817