What is the Greatest Common Factor of 28270 and 28289?

Greatest common factor (GCF) of 28270 and 28289 is 1.

GCF(28270,28289) = 1

We will now calculate the prime factors of 28270 and 28289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28270 and 28289.

How to find the GCF of 28270 and 28289?

We will first find the prime factorization of 28270 and 28289. After we will calculate the factors of 28270 and 28289 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 28289

Prime factors of 28289 are 28289. Prime factorization of 28289 in exponential form is:

28289 = 28289¹

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 28289

List of positive integer factors of 28289 that divides 28270 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28270 and 28289. The biggest common factor number is the GCF number.
So the greatest common factor 28270 and 28289 is 1.

Also check out the Least Common Multiple of 28270 and 28289