What is the Greatest Common Factor of 28260 and 28275?

Greatest common factor (GCF) of 28260 and 28275 is 15.

GCF(28260,28275) = 15

We will now calculate the prime factors of 28260 and 28275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28260 and 28275.

How to find the GCF of 28260 and 28275?

We will first find the prime factorization of 28260 and 28275. After we will calculate the factors of 28260 and 28275 and find the biggest common factor number .

Step-1: Prime Factorization of 28260

Prime factors of 28260 are 2, 3, 5, 157. Prime factorization of 28260 in exponential form is:

28260 = 2² × 3² × 5¹ × 157¹

Step-2: 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-3: Factors of 28260

List of positive integer factors of 28260 that divides 28260 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 157, 180, 314, 471, 628, 785, 942, 1413, 1570, 1884, 2355, 2826, 3140, 4710, 5652, 7065, 9420, 14130

Step-4: Factors of 28275

List of positive integer factors of 28275 that divides 28260 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28260 and 28275. The biggest common factor number is the GCF number.
So the greatest common factor 28260 and 28275 is 15.

Also check out the Least Common Multiple of 28260 and 28275