What is the Greatest Common Factor of 65536 and 65546?

Greatest common factor (GCF) of 65536 and 65546 is 2.

GCF(65536,65546) = 2

We will now calculate the prime factors of 65536 and 65546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65536 and 65546.

How to find the GCF of 65536 and 65546?

We will first find the prime factorization of 65536 and 65546. After we will calculate the factors of 65536 and 65546 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 65546

Prime factors of 65546 are 2, 13, 2521. Prime factorization of 65546 in exponential form is:

65546 = 2¹ × 13¹ × 2521¹

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 65546

List of positive integer factors of 65546 that divides 65536 without a remainder.

1, 2, 13, 26, 2521, 5042, 32773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65536 and 65546. The biggest common factor number is the GCF number.
So the greatest common factor 65536 and 65546 is 2.

Also check out the Least Common Multiple of 65536 and 65546