What is the Greatest Common Factor of 65534 and 65550?

Greatest common factor (GCF) of 65534 and 65550 is 2.

GCF(65534,65550) = 2

We will now calculate the prime factors of 65534 and 65550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65534 and 65550.

How to find the GCF of 65534 and 65550?

We will first find the prime factorization of 65534 and 65550. After we will calculate the factors of 65534 and 65550 and find the biggest common factor number .

Step-1: Prime Factorization of 65534

Prime factors of 65534 are 2, 7, 31, 151. Prime factorization of 65534 in exponential form is:

65534 = 2¹ × 7¹ × 31¹ × 151¹

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 65534

List of positive integer factors of 65534 that divides 65534 without a remainder.

1, 2, 7, 14, 31, 62, 151, 217, 302, 434, 1057, 2114, 4681, 9362, 32767

Step-4: Factors of 65550

List of positive integer factors of 65550 that divides 65534 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 65534 and 65550. The biggest common factor number is the GCF number.
So the greatest common factor 65534 and 65550 is 2.

Also check out the Least Common Multiple of 65534 and 65550