What is the Greatest Common Factor of 65535 and 65554?

Greatest common factor (GCF) of 65535 and 65554 is 1.

GCF(65535,65554) = 1

We will now calculate the prime factors of 65535 and 65554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65535 and 65554.

How to find the GCF of 65535 and 65554?

We will first find the prime factorization of 65535 and 65554. After we will calculate the factors of 65535 and 65554 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 65554

Prime factors of 65554 are 2, 73, 449. Prime factorization of 65554 in exponential form is:

65554 = 2¹ × 73¹ × 449¹

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 65554

List of positive integer factors of 65554 that divides 65535 without a remainder.

1, 2, 73, 146, 449, 898, 32777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65535 and 65554. The biggest common factor number is the GCF number.
So the greatest common factor 65535 and 65554 is 1.

Also check out the Least Common Multiple of 65535 and 65554