What is the Greatest Common Factor of 18900 and 18915?

Greatest common factor (GCF) of 18900 and 18915 is 15.

GCF(18900,18915) = 15

We will now calculate the prime factors of 18900 and 18915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18900 and 18915.

How to find the GCF of 18900 and 18915?

We will first find the prime factorization of 18900 and 18915. After we will calculate the factors of 18900 and 18915 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 18915

Prime factors of 18915 are 3, 5, 13, 97. Prime factorization of 18915 in exponential form is:

18915 = 3¹ × 5¹ × 13¹ × 97¹

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 18915

List of positive integer factors of 18915 that divides 18900 without a remainder.

1, 3, 5, 13, 15, 39, 65, 97, 195, 291, 485, 1261, 1455, 3783, 6305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18900 and 18915. The biggest common factor number is the GCF number.
So the greatest common factor 18900 and 18915 is 15.

Also check out the Least Common Multiple of 18900 and 18915