What is the Greatest Common Factor of 18896 and 18900?

Greatest common factor (GCF) of 18896 and 18900 is 4.

GCF(18896,18900) = 4

We will now calculate the prime factors of 18896 and 18900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18896 and 18900.

How to find the GCF of 18896 and 18900?

We will first find the prime factorization of 18896 and 18900. After we will calculate the factors of 18896 and 18900 and find the biggest common factor number .

Step-1: Prime Factorization of 18896

Prime factors of 18896 are 2, 1181. Prime factorization of 18896 in exponential form is:

18896 = 2⁴ × 1181¹

Step-2: 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-3: Factors of 18896

List of positive integer factors of 18896 that divides 18896 without a remainder.

1, 2, 4, 8, 16, 1181, 2362, 4724, 9448

Step-4: Factors of 18900

List of positive integer factors of 18900 that divides 18896 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18896 and 18900. The biggest common factor number is the GCF number.
So the greatest common factor 18896 and 18900 is 4.

Also check out the Least Common Multiple of 18896 and 18900