What is the Greatest Common Factor of 18900 and 18912?

Greatest common factor (GCF) of 18900 and 18912 is 12.

GCF(18900,18912) = 12

We will now calculate the prime factors of 18900 and 18912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18900 and 18912.

How to find the GCF of 18900 and 18912?

We will first find the prime factorization of 18900 and 18912. After we will calculate the factors of 18900 and 18912 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 18912

Prime factors of 18912 are 2, 3, 197. Prime factorization of 18912 in exponential form is:

18912 = 2⁵ × 3¹ × 197¹

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 18912

List of positive integer factors of 18912 that divides 18900 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 197, 394, 591, 788, 1182, 1576, 2364, 3152, 4728, 6304, 9456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18900 and 18912. The biggest common factor number is the GCF number.
So the greatest common factor 18900 and 18912 is 12.

Also check out the Least Common Multiple of 18900 and 18912