What is the Greatest Common Factor of 18700 and 18720?

Greatest common factor (GCF) of 18700 and 18720 is 20.

GCF(18700,18720) = 20

We will now calculate the prime factors of 18700 and 18720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18700 and 18720.

How to find the GCF of 18700 and 18720?

We will first find the prime factorization of 18700 and 18720. After we will calculate the factors of 18700 and 18720 and find the biggest common factor number .

Step-1: Prime Factorization of 18700

Prime factors of 18700 are 2, 5, 11, 17. Prime factorization of 18700 in exponential form is:

18700 = 2² × 5² × 11¹ × 17¹

Step-2: Prime Factorization of 18720

Prime factors of 18720 are 2, 3, 5, 13. Prime factorization of 18720 in exponential form is:

18720 = 2⁵ × 3² × 5¹ × 13¹

Step-3: Factors of 18700

List of positive integer factors of 18700 that divides 18700 without a remainder.

1, 2, 4, 5, 10, 11, 17, 20, 22, 25, 34, 44, 50, 55, 68, 85, 100, 110, 170, 187, 220, 275, 340, 374, 425, 550, 748, 850, 935, 1100, 1700, 1870, 3740, 4675, 9350

Step-4: Factors of 18720

List of positive integer factors of 18720 that divides 18700 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 32, 36, 39, 40, 45, 48, 52, 60, 65, 72, 78, 80, 90, 96, 104, 117, 120, 130, 144, 156, 160, 180, 195, 208, 234, 240, 260, 288, 312, 360, 390, 416, 468, 480, 520, 585, 624, 720, 780, 936, 1040, 1170, 1248, 1440, 1560, 1872, 2080, 2340, 3120, 3744, 4680, 6240, 9360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18700 and 18720. The biggest common factor number is the GCF number.
So the greatest common factor 18700 and 18720 is 20.

Also check out the Least Common Multiple of 18700 and 18720