What is the Greatest Common Factor of 65535 and 65543?

Greatest common factor (GCF) of 65535 and 65543 is 1.

GCF(65535,65543) = 1

We will now calculate the prime factors of 65535 and 65543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65535 and 65543.

How to find the GCF of 65535 and 65543?

We will first find the prime factorization of 65535 and 65543. After we will calculate the factors of 65535 and 65543 and find the biggest common factor number .

Step-1: Prime Factorization of 65535

Prime factors of 65535 are 3, 5, 17, 257. Prime factorization of 65535 in exponential form is:

65535 = 3¹ × 5¹ × 17¹ × 257¹

Step-2: Prime Factorization of 65543

Prime factors of 65543 are 65543. Prime factorization of 65543 in exponential form is:

65543 = 65543¹

Step-3: Factors of 65535

List of positive integer factors of 65535 that divides 65535 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 257, 771, 1285, 3855, 4369, 13107, 21845

Step-4: Factors of 65543

List of positive integer factors of 65543 that divides 65535 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65535 and 65543. The biggest common factor number is the GCF number.
So the greatest common factor 65535 and 65543 is 1.

Also check out the Least Common Multiple of 65535 and 65543