What is the Greatest Common Factor of 16642 and 16650?

Greatest common factor (GCF) of 16642 and 16650 is 2.

GCF(16642,16650) = 2

We will now calculate the prime factors of 16642 and 16650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16642 and 16650.

How to find the GCF of 16642 and 16650?

We will first find the prime factorization of 16642 and 16650. After we will calculate the factors of 16642 and 16650 and find the biggest common factor number .

Step-1: Prime Factorization of 16642

Prime factors of 16642 are 2, 53, 157. Prime factorization of 16642 in exponential form is:

16642 = 2¹ × 53¹ × 157¹

Step-2: Prime Factorization of 16650

Prime factors of 16650 are 2, 3, 5, 37. Prime factorization of 16650 in exponential form is:

16650 = 2¹ × 3² × 5² × 37¹

Step-3: Factors of 16642

List of positive integer factors of 16642 that divides 16642 without a remainder.

1, 2, 53, 106, 157, 314, 8321

Step-4: Factors of 16650

List of positive integer factors of 16650 that divides 16642 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 37, 45, 50, 74, 75, 90, 111, 150, 185, 222, 225, 333, 370, 450, 555, 666, 925, 1110, 1665, 1850, 2775, 3330, 5550, 8325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16642 and 16650. The biggest common factor number is the GCF number.
So the greatest common factor 16642 and 16650 is 2.

Also check out the Least Common Multiple of 16642 and 16650