What is the Greatest Common Factor of 28270 and 28280?

Greatest common factor (GCF) of 28270 and 28280 is 10.

GCF(28270,28280) = 10

We will now calculate the prime factors of 28270 and 28280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28270 and 28280.

How to find the GCF of 28270 and 28280?

We will first find the prime factorization of 28270 and 28280. After we will calculate the factors of 28270 and 28280 and find the biggest common factor number .

Step-1: Prime Factorization of 28270

Prime factors of 28270 are 2, 5, 11, 257. Prime factorization of 28270 in exponential form is:

28270 = 2¹ × 5¹ × 11¹ × 257¹

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 28270

List of positive integer factors of 28270 that divides 28270 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 257, 514, 1285, 2570, 2827, 5654, 14135

Step-4: Factors of 28280

List of positive integer factors of 28280 that divides 28270 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 28270 and 28280. The biggest common factor number is the GCF number.
So the greatest common factor 28270 and 28280 is 10.

Also check out the Least Common Multiple of 28270 and 28280