What is the Greatest Common Factor of 16650 and 16659?

Greatest common factor (GCF) of 16650 and 16659 is 9.

GCF(16650,16659) = 9

We will now calculate the prime factors of 16650 and 16659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16650 and 16659.

How to find the GCF of 16650 and 16659?

We will first find the prime factorization of 16650 and 16659. After we will calculate the factors of 16650 and 16659 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16659

Prime factors of 16659 are 3, 617. Prime factorization of 16659 in exponential form is:

16659 = 3³ × 617¹

Step-3: Factors of 16650

List of positive integer factors of 16650 that divides 16650 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

Step-4: Factors of 16659

List of positive integer factors of 16659 that divides 16650 without a remainder.

1, 3, 9, 27, 617, 1851, 5553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16650 and 16659. The biggest common factor number is the GCF number.
So the greatest common factor 16650 and 16659 is 9.

Also check out the Least Common Multiple of 16650 and 16659