What is the Greatest Common Factor of 28543 and 28549?

Greatest common factor (GCF) of 28543 and 28549 is 1.

GCF(28543,28549) = 1

We will now calculate the prime factors of 28543 and 28549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28543 and 28549.

How to find the GCF of 28543 and 28549?

We will first find the prime factorization of 28543 and 28549. After we will calculate the factors of 28543 and 28549 and find the biggest common factor number .

Step-1: Prime Factorization of 28543

Prime factors of 28543 are 17, 23, 73. Prime factorization of 28543 in exponential form is:

28543 = 17¹ × 23¹ × 73¹

Step-2: Prime Factorization of 28549

Prime factors of 28549 are 28549. Prime factorization of 28549 in exponential form is:

28549 = 28549¹

Step-3: Factors of 28543

List of positive integer factors of 28543 that divides 28543 without a remainder.

1, 17, 23, 73, 391, 1241, 1679

Step-4: Factors of 28549

List of positive integer factors of 28549 that divides 28543 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28543 and 28549. The biggest common factor number is the GCF number.
So the greatest common factor 28543 and 28549 is 1.

Also check out the Least Common Multiple of 28543 and 28549