What is the Greatest Common Factor of 18900 and 18905?

Greatest common factor (GCF) of 18900 and 18905 is 5.

GCF(18900,18905) = 5

We will now calculate the prime factors of 18900 and 18905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18900 and 18905.

How to find the GCF of 18900 and 18905?

We will first find the prime factorization of 18900 and 18905. After we will calculate the factors of 18900 and 18905 and find the biggest common factor number .

Step-1: Prime Factorization of 18900

Prime factors of 18900 are 2, 3, 5, 7. Prime factorization of 18900 in exponential form is:

18900 = 2² × 3³ × 5² × 7¹

Step-2: Prime Factorization of 18905

Prime factors of 18905 are 5, 19, 199. Prime factorization of 18905 in exponential form is:

18905 = 5¹ × 19¹ × 199¹

Step-3: Factors of 18900

List of positive integer factors of 18900 that divides 18900 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 27, 28, 30, 35, 36, 42, 45, 50, 54, 60, 63, 70, 75, 84, 90, 100, 105, 108, 126, 135, 140, 150, 175, 180, 189, 210, 225, 252, 270, 300, 315, 350, 378, 420, 450, 525, 540, 630, 675, 700, 756, 900, 945, 1050, 1260, 1350, 1575, 1890, 2100, 2700, 3150, 3780, 4725, 6300, 9450

Step-4: Factors of 18905

List of positive integer factors of 18905 that divides 18900 without a remainder.

1, 5, 19, 95, 199, 995, 3781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18900 and 18905. The biggest common factor number is the GCF number.
So the greatest common factor 18900 and 18905 is 5.

Also check out the Least Common Multiple of 18900 and 18905