What is the Greatest Common Factor of 18900 and 18918?

Greatest common factor (GCF) of 18900 and 18918 is 18.

GCF(18900,18918) = 18

We will now calculate the prime factors of 18900 and 18918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18900 and 18918.

How to find the GCF of 18900 and 18918?

We will first find the prime factorization of 18900 and 18918. After we will calculate the factors of 18900 and 18918 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 18918

Prime factors of 18918 are 2, 3, 1051. Prime factorization of 18918 in exponential form is:

18918 = 2¹ × 3² × 1051¹

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 18918

List of positive integer factors of 18918 that divides 18900 without a remainder.

1, 2, 3, 6, 9, 18, 1051, 2102, 3153, 6306, 9459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18900 and 18918. The biggest common factor number is the GCF number.
So the greatest common factor 18900 and 18918 is 18.

Also check out the Least Common Multiple of 18900 and 18918