What is the Greatest Common Factor of 16640 and 16650?

Greatest common factor (GCF) of 16640 and 16650 is 10.

GCF(16640,16650) = 10

We will now calculate the prime factors of 16640 and 16650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16640 and 16650.

How to find the GCF of 16640 and 16650?

We will first find the prime factorization of 16640 and 16650. After we will calculate the factors of 16640 and 16650 and find the biggest common factor number .

Step-1: Prime Factorization of 16640

Prime factors of 16640 are 2, 5, 13. Prime factorization of 16640 in exponential form is:

16640 = 2⁸ × 5¹ × 13¹

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 16640

List of positive integer factors of 16640 that divides 16640 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 256, 260, 320, 416, 520, 640, 832, 1040, 1280, 1664, 2080, 3328, 4160, 8320

Step-4: Factors of 16650

List of positive integer factors of 16650 that divides 16640 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 16640 and 16650. The biggest common factor number is the GCF number.
So the greatest common factor 16640 and 16650 is 10.

Also check out the Least Common Multiple of 16640 and 16650