What is the Greatest Common Factor of 65536 and 65545?

Greatest common factor (GCF) of 65536 and 65545 is 1.

GCF(65536,65545) = 1

We will now calculate the prime factors of 65536 and 65545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65536 and 65545.

How to find the GCF of 65536 and 65545?

We will first find the prime factorization of 65536 and 65545. After we will calculate the factors of 65536 and 65545 and find the biggest common factor number .

Step-1: Prime Factorization of 65536

Prime factors of 65536 are 2. Prime factorization of 65536 in exponential form is:

65536 = 2¹⁶

Step-2: Prime Factorization of 65545

Prime factors of 65545 are 5, 13109. Prime factorization of 65545 in exponential form is:

65545 = 5¹ × 13109¹

Step-3: Factors of 65536

List of positive integer factors of 65536 that divides 65536 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768

Step-4: Factors of 65545

List of positive integer factors of 65545 that divides 65536 without a remainder.

1, 5, 13109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65536 and 65545. The biggest common factor number is the GCF number.
So the greatest common factor 65536 and 65545 is 1.

Also check out the Least Common Multiple of 65536 and 65545