What is the Greatest Common Factor of 28375 and 28380?

Greatest common factor (GCF) of 28375 and 28380 is 5.

GCF(28375,28380) = 5

We will now calculate the prime factors of 28375 and 28380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28375 and 28380.

How to find the GCF of 28375 and 28380?

We will first find the prime factorization of 28375 and 28380. After we will calculate the factors of 28375 and 28380 and find the biggest common factor number .

Step-1: Prime Factorization of 28375

Prime factors of 28375 are 5, 227. Prime factorization of 28375 in exponential form is:

28375 = 5³ × 227¹

Step-2: Prime Factorization of 28380

Prime factors of 28380 are 2, 3, 5, 11, 43. Prime factorization of 28380 in exponential form is:

28380 = 2² × 3¹ × 5¹ × 11¹ × 43¹

Step-3: Factors of 28375

List of positive integer factors of 28375 that divides 28375 without a remainder.

1, 5, 25, 125, 227, 1135, 5675

Step-4: Factors of 28380

List of positive integer factors of 28380 that divides 28375 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 43, 44, 55, 60, 66, 86, 110, 129, 132, 165, 172, 215, 220, 258, 330, 430, 473, 516, 645, 660, 860, 946, 1290, 1419, 1892, 2365, 2580, 2838, 4730, 5676, 7095, 9460, 14190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28375 and 28380. The biggest common factor number is the GCF number.
So the greatest common factor 28375 and 28380 is 5.

Also check out the Least Common Multiple of 28375 and 28380