What is the Greatest Common Factor of 18880 and 18900?

Greatest common factor (GCF) of 18880 and 18900 is 20.

GCF(18880,18900) = 20

We will now calculate the prime factors of 18880 and 18900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18880 and 18900.

How to find the GCF of 18880 and 18900?

We will first find the prime factorization of 18880 and 18900. After we will calculate the factors of 18880 and 18900 and find the biggest common factor number .

Step-1: Prime Factorization of 18880

Prime factors of 18880 are 2, 5, 59. Prime factorization of 18880 in exponential form is:

18880 = 2⁶ × 5¹ × 59¹

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 18880

List of positive integer factors of 18880 that divides 18880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 64, 80, 118, 160, 236, 295, 320, 472, 590, 944, 1180, 1888, 2360, 3776, 4720, 9440

Step-4: Factors of 18900

List of positive integer factors of 18900 that divides 18880 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 18880 and 18900. The biggest common factor number is the GCF number.
So the greatest common factor 18880 and 18900 is 20.

Also check out the Least Common Multiple of 18880 and 18900