What is the Greatest Common Factor of 28260 and 28280?

Greatest common factor (GCF) of 28260 and 28280 is 20.

GCF(28260,28280) = 20

We will now calculate the prime factors of 28260 and 28280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28260 and 28280.

How to find the GCF of 28260 and 28280?

We will first find the prime factorization of 28260 and 28280. After we will calculate the factors of 28260 and 28280 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 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 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 28280

List of positive integer factors of 28280 that divides 28260 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 28260 and 28280. The biggest common factor number is the GCF number.
So the greatest common factor 28260 and 28280 is 20.

Also check out the Least Common Multiple of 28260 and 28280