What is the Greatest Common Factor of 28245 and 28260?

Greatest common factor (GCF) of 28245 and 28260 is 15.

GCF(28245,28260) = 15

We will now calculate the prime factors of 28245 and 28260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28245 and 28260.

How to find the GCF of 28245 and 28260?

We will first find the prime factorization of 28245 and 28260. After we will calculate the factors of 28245 and 28260 and find the biggest common factor number .

Step-1: Prime Factorization of 28245

Prime factors of 28245 are 3, 5, 7, 269. Prime factorization of 28245 in exponential form is:

28245 = 3¹ × 5¹ × 7¹ × 269¹

Step-2: 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-3: Factors of 28245

List of positive integer factors of 28245 that divides 28245 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 269, 807, 1345, 1883, 4035, 5649, 9415

Step-4: Factors of 28260

List of positive integer factors of 28260 that divides 28245 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28245 and 28260. The biggest common factor number is the GCF number.
So the greatest common factor 28245 and 28260 is 15.

Also check out the Least Common Multiple of 28245 and 28260