What is the Greatest Common Factor of 65522 and 65536?

Greatest common factor (GCF) of 65522 and 65536 is 2.

GCF(65522,65536) = 2

We will now calculate the prime factors of 65522 and 65536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65522 and 65536.

How to find the GCF of 65522 and 65536?

We will first find the prime factorization of 65522 and 65536. After we will calculate the factors of 65522 and 65536 and find the biggest common factor number .

Step-1: Prime Factorization of 65522

Prime factors of 65522 are 2, 181. Prime factorization of 65522 in exponential form is:

65522 = 2¹ × 181²

Step-2: Prime Factorization of 65536

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

65536 = 2¹⁶

Step-3: Factors of 65522

List of positive integer factors of 65522 that divides 65522 without a remainder.

1, 2, 181, 362, 32761

Step-4: Factors of 65536

List of positive integer factors of 65536 that divides 65522 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65522 and 65536. The biggest common factor number is the GCF number.
So the greatest common factor 65522 and 65536 is 2.

Also check out the Least Common Multiple of 65522 and 65536