What is the Greatest Common Factor of 65524 and 65536?

Greatest common factor (GCF) of 65524 and 65536 is 4.

GCF(65524,65536) = 4

We will now calculate the prime factors of 65524 and 65536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65524 and 65536.

How to find the GCF of 65524 and 65536?

We will first find the prime factorization of 65524 and 65536. After we will calculate the factors of 65524 and 65536 and find the biggest common factor number .

Step-1: Prime Factorization of 65524

Prime factors of 65524 are 2, 16381. Prime factorization of 65524 in exponential form is:

65524 = 2² × 16381¹

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 65524

List of positive integer factors of 65524 that divides 65524 without a remainder.

1, 2, 4, 16381, 32762

Step-4: Factors of 65536

List of positive integer factors of 65536 that divides 65524 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 65524 and 65536. The biggest common factor number is the GCF number.
So the greatest common factor 65524 and 65536 is 4.

Also check out the Least Common Multiple of 65524 and 65536