What is the Greatest Common Factor of 18900 and 18911?

Greatest common factor (GCF) of 18900 and 18911 is 1.

GCF(18900,18911) = 1

We will now calculate the prime factors of 18900 and 18911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18900 and 18911.

How to find the GCF of 18900 and 18911?

We will first find the prime factorization of 18900 and 18911. After we will calculate the factors of 18900 and 18911 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 18911

Prime factors of 18911 are 18911. Prime factorization of 18911 in exponential form is:

18911 = 18911¹

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 18911

List of positive integer factors of 18911 that divides 18900 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18900 and 18911. The biggest common factor number is the GCF number.
So the greatest common factor 18900 and 18911 is 1.

Also check out the Least Common Multiple of 18900 and 18911