What is the Greatest Common Factor of 18720 and 18725?

Greatest common factor (GCF) of 18720 and 18725 is 5.

GCF(18720,18725) = 5

We will now calculate the prime factors of 18720 and 18725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18720 and 18725.

How to find the GCF of 18720 and 18725?

We will first find the prime factorization of 18720 and 18725. After we will calculate the factors of 18720 and 18725 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18725

Prime factors of 18725 are 5, 7, 107. Prime factorization of 18725 in exponential form is:

18725 = 5² × 7¹ × 107¹

Step-3: Factors of 18720

List of positive integer factors of 18720 that divides 18720 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

Step-4: Factors of 18725

List of positive integer factors of 18725 that divides 18720 without a remainder.

1, 5, 7, 25, 35, 107, 175, 535, 749, 2675, 3745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18720 and 18725. The biggest common factor number is the GCF number.
So the greatest common factor 18720 and 18725 is 5.

Also check out the Least Common Multiple of 18720 and 18725