What is the Greatest Common Factor of 28275 and 28280?

Greatest common factor (GCF) of 28275 and 28280 is 5.

GCF(28275,28280) = 5

We will now calculate the prime factors of 28275 and 28280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28275 and 28280.

How to find the GCF of 28275 and 28280?

We will first find the prime factorization of 28275 and 28280. After we will calculate the factors of 28275 and 28280 and find the biggest common factor number .

Step-1: Prime Factorization of 28275

Prime factors of 28275 are 3, 5, 13, 29. Prime factorization of 28275 in exponential form is:

28275 = 3¹ × 5² × 13¹ × 29¹

Step-2: Prime Factorization of 28280

Prime factors of 28280 are 2, 5, 7, 101. Prime factorization of 28280 in exponential form is:

28280 = 2³ × 5¹ × 7¹ × 101¹

Step-3: Factors of 28275

List of positive integer factors of 28275 that divides 28275 without a remainder.

1, 3, 5, 13, 15, 25, 29, 39, 65, 75, 87, 145, 195, 325, 377, 435, 725, 975, 1131, 1885, 2175, 5655, 9425

Step-4: Factors of 28280

List of positive integer factors of 28280 that divides 28275 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 101, 140, 202, 280, 404, 505, 707, 808, 1010, 1414, 2020, 2828, 3535, 4040, 5656, 7070, 14140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28275 and 28280. The biggest common factor number is the GCF number.
So the greatest common factor 28275 and 28280 is 5.

Also check out the Least Common Multiple of 28275 and 28280