What is the Greatest Common Factor of 28080 and 28095?

Greatest common factor (GCF) of 28080 and 28095 is 15.

GCF(28080,28095) = 15

We will now calculate the prime factors of 28080 and 28095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28080 and 28095.

How to find the GCF of 28080 and 28095?

We will first find the prime factorization of 28080 and 28095. After we will calculate the factors of 28080 and 28095 and find the biggest common factor number .

Step-1: Prime Factorization of 28080

Prime factors of 28080 are 2, 3, 5, 13. Prime factorization of 28080 in exponential form is:

28080 = 2⁴ × 3³ × 5¹ × 13¹

Step-2: Prime Factorization of 28095

Prime factors of 28095 are 3, 5, 1873. Prime factorization of 28095 in exponential form is:

28095 = 3¹ × 5¹ × 1873¹

Step-3: Factors of 28080

List of positive integer factors of 28080 that divides 28080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 27, 30, 36, 39, 40, 45, 48, 52, 54, 60, 65, 72, 78, 80, 90, 104, 108, 117, 120, 130, 135, 144, 156, 180, 195, 208, 216, 234, 240, 260, 270, 312, 351, 360, 390, 432, 468, 520, 540, 585, 624, 702, 720, 780, 936, 1040, 1080, 1170, 1404, 1560, 1755, 1872, 2160, 2340, 2808, 3120, 3510, 4680, 5616, 7020, 9360, 14040

Step-4: Factors of 28095

List of positive integer factors of 28095 that divides 28080 without a remainder.

1, 3, 5, 15, 1873, 5619, 9365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28080 and 28095. The biggest common factor number is the GCF number.
So the greatest common factor 28080 and 28095 is 15.

Also check out the Least Common Multiple of 28080 and 28095