What is the Greatest Common Factor of 28080 and 28100?

Greatest common factor (GCF) of 28080 and 28100 is 20.

GCF(28080,28100) = 20

We will now calculate the prime factors of 28080 and 28100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28080 and 28100.

How to find the GCF of 28080 and 28100?

We will first find the prime factorization of 28080 and 28100. After we will calculate the factors of 28080 and 28100 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 28100

Prime factors of 28100 are 2, 5, 281. Prime factorization of 28100 in exponential form is:

28100 = 2² × 5² × 281¹

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 28100

List of positive integer factors of 28100 that divides 28080 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 281, 562, 1124, 1405, 2810, 5620, 7025, 14050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28080 and 28100. The biggest common factor number is the GCF number.
So the greatest common factor 28080 and 28100 is 20.

Also check out the Least Common Multiple of 28080 and 28100