What is the Greatest Common Factor of 65536 and 65550?

Greatest common factor (GCF) of 65536 and 65550 is 2.

GCF(65536,65550) = 2

We will now calculate the prime factors of 65536 and 65550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65536 and 65550.

How to find the GCF of 65536 and 65550?

We will first find the prime factorization of 65536 and 65550. After we will calculate the factors of 65536 and 65550 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 65550

Prime factors of 65550 are 2, 3, 5, 19, 23. Prime factorization of 65550 in exponential form is:

65550 = 2¹ × 3¹ × 5² × 19¹ × 23¹

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 65550

List of positive integer factors of 65550 that divides 65536 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 23, 25, 30, 38, 46, 50, 57, 69, 75, 95, 114, 115, 138, 150, 190, 230, 285, 345, 437, 475, 570, 575, 690, 874, 950, 1150, 1311, 1425, 1725, 2185, 2622, 2850, 3450, 4370, 6555, 10925, 13110, 21850, 32775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65536 and 65550. The biggest common factor number is the GCF number.
So the greatest common factor 65536 and 65550 is 2.

Also check out the Least Common Multiple of 65536 and 65550