What is the Greatest Common Factor of 18702 and 18720?

Greatest common factor (GCF) of 18702 and 18720 is 18.

GCF(18702,18720) = 18

We will now calculate the prime factors of 18702 and 18720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18702 and 18720.

How to find the GCF of 18702 and 18720?

We will first find the prime factorization of 18702 and 18720. After we will calculate the factors of 18702 and 18720 and find the biggest common factor number .

Step-1: Prime Factorization of 18702

Prime factors of 18702 are 2, 3, 1039. Prime factorization of 18702 in exponential form is:

18702 = 2¹ × 3² × 1039¹

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 18702

List of positive integer factors of 18702 that divides 18702 without a remainder.

1, 2, 3, 6, 9, 18, 1039, 2078, 3117, 6234, 9351

Step-4: Factors of 18720

List of positive integer factors of 18720 that divides 18702 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 18702 and 18720. The biggest common factor number is the GCF number.
So the greatest common factor 18702 and 18720 is 18.

Also check out the Least Common Multiple of 18702 and 18720