What is the Greatest Common Factor of 28255 and 28260?

Greatest common factor (GCF) of 28255 and 28260 is 5.

GCF(28255,28260) = 5

We will now calculate the prime factors of 28255 and 28260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28255 and 28260.

How to find the GCF of 28255 and 28260?

We will first find the prime factorization of 28255 and 28260. After we will calculate the factors of 28255 and 28260 and find the biggest common factor number .

Step-1: Prime Factorization of 28255

Prime factors of 28255 are 5, 5651. Prime factorization of 28255 in exponential form is:

28255 = 5¹ × 5651¹

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 28255

List of positive integer factors of 28255 that divides 28255 without a remainder.

1, 5, 5651

Step-4: Factors of 28260

List of positive integer factors of 28260 that divides 28255 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 28255 and 28260. The biggest common factor number is the GCF number.
So the greatest common factor 28255 and 28260 is 5.

Also check out the Least Common Multiple of 28255 and 28260