What is the Greatest Common Factor of 28250 and 28260?

Greatest common factor (GCF) of 28250 and 28260 is 10.

GCF(28250,28260) = 10

We will now calculate the prime factors of 28250 and 28260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28250 and 28260.

How to find the GCF of 28250 and 28260?

We will first find the prime factorization of 28250 and 28260. After we will calculate the factors of 28250 and 28260 and find the biggest common factor number .

Step-1: Prime Factorization of 28250

Prime factors of 28250 are 2, 5, 113. Prime factorization of 28250 in exponential form is:

28250 = 2¹ × 5³ × 113¹

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 28250

List of positive integer factors of 28250 that divides 28250 without a remainder.

1, 2, 5, 10, 25, 50, 113, 125, 226, 250, 565, 1130, 2825, 5650, 14125

Step-4: Factors of 28260

List of positive integer factors of 28260 that divides 28250 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 28250 and 28260. The biggest common factor number is the GCF number.
So the greatest common factor 28250 and 28260 is 10.

Also check out the Least Common Multiple of 28250 and 28260