What is the Greatest Common Factor of 16277 and 16281?

Greatest common factor (GCF) of 16277 and 16281 is 1.

GCF(16277,16281) = 1

We will now calculate the prime factors of 16277 and 16281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16277 and 16281.

How to find the GCF of 16277 and 16281?

We will first find the prime factorization of 16277 and 16281. After we will calculate the factors of 16277 and 16281 and find the biggest common factor number .

Step-1: Prime Factorization of 16277

Prime factors of 16277 are 41, 397. Prime factorization of 16277 in exponential form is:

16277 = 41¹ × 397¹

Step-2: Prime Factorization of 16281

Prime factors of 16281 are 3, 67. Prime factorization of 16281 in exponential form is:

16281 = 3⁵ × 67¹

Step-3: Factors of 16277

List of positive integer factors of 16277 that divides 16277 without a remainder.

1, 41, 397

Step-4: Factors of 16281

List of positive integer factors of 16281 that divides 16277 without a remainder.

1, 3, 9, 27, 67, 81, 201, 243, 603, 1809, 5427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16277 and 16281. The biggest common factor number is the GCF number.
So the greatest common factor 16277 and 16281 is 1.

Also check out the Least Common Multiple of 16277 and 16281