What is the Greatest Common Factor of 65535 and 65542?

Greatest common factor (GCF) of 65535 and 65542 is 1.

GCF(65535,65542) = 1

We will now calculate the prime factors of 65535 and 65542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65535 and 65542.

How to find the GCF of 65535 and 65542?

We will first find the prime factorization of 65535 and 65542. After we will calculate the factors of 65535 and 65542 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 65542

Prime factors of 65542 are 2, 32771. Prime factorization of 65542 in exponential form is:

65542 = 2¹ × 32771¹

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 65542

List of positive integer factors of 65542 that divides 65535 without a remainder.

1, 2, 32771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65535 and 65542. The biggest common factor number is the GCF number.
So the greatest common factor 65535 and 65542 is 1.

Also check out the Least Common Multiple of 65535 and 65542