What is the Greatest Common Factor of 28080 and 28086?

Greatest common factor (GCF) of 28080 and 28086 is 6.

GCF(28080,28086) = 6

We will now calculate the prime factors of 28080 and 28086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28080 and 28086.

How to find the GCF of 28080 and 28086?

We will first find the prime factorization of 28080 and 28086. After we will calculate the factors of 28080 and 28086 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 28086

Prime factors of 28086 are 2, 3, 31, 151. Prime factorization of 28086 in exponential form is:

28086 = 2¹ × 3¹ × 31¹ × 151¹

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 28086

List of positive integer factors of 28086 that divides 28080 without a remainder.

1, 2, 3, 6, 31, 62, 93, 151, 186, 302, 453, 906, 4681, 9362, 14043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28080 and 28086. The biggest common factor number is the GCF number.
So the greatest common factor 28080 and 28086 is 6.

Also check out the Least Common Multiple of 28080 and 28086