What is the Greatest Common Factor of 18703 and 18720?

Greatest common factor (GCF) of 18703 and 18720 is 1.

GCF(18703,18720) = 1

We will now calculate the prime factors of 18703 and 18720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18703 and 18720.

How to find the GCF of 18703 and 18720?

We will first find the prime factorization of 18703 and 18720. After we will calculate the factors of 18703 and 18720 and find the biggest common factor number .

Step-1: Prime Factorization of 18703

Prime factors of 18703 are 59, 317. Prime factorization of 18703 in exponential form is:

18703 = 59¹ × 317¹

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 18703

List of positive integer factors of 18703 that divides 18703 without a remainder.

1, 59, 317

Step-4: Factors of 18720

List of positive integer factors of 18720 that divides 18703 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 18703 and 18720. The biggest common factor number is the GCF number.
So the greatest common factor 18703 and 18720 is 1.

Also check out the Least Common Multiple of 18703 and 18720