What is the Greatest Common Factor of 28075 and 28080?

Greatest common factor (GCF) of 28075 and 28080 is 5.

GCF(28075,28080) = 5

We will now calculate the prime factors of 28075 and 28080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28075 and 28080.

How to find the GCF of 28075 and 28080?

We will first find the prime factorization of 28075 and 28080. After we will calculate the factors of 28075 and 28080 and find the biggest common factor number .

Step-1: Prime Factorization of 28075

Prime factors of 28075 are 5, 1123. Prime factorization of 28075 in exponential form is:

28075 = 5² × 1123¹

Step-2: 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-3: Factors of 28075

List of positive integer factors of 28075 that divides 28075 without a remainder.

1, 5, 25, 1123, 5615

Step-4: Factors of 28080

List of positive integer factors of 28080 that divides 28075 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28075 and 28080. The biggest common factor number is the GCF number.
So the greatest common factor 28075 and 28080 is 5.

Also check out the Least Common Multiple of 28075 and 28080