What is the Greatest Common Factor of 17600 and 17606?

Greatest common factor (GCF) of 17600 and 17606 is 2.

GCF(17600,17606) = 2

We will now calculate the prime factors of 17600 and 17606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17600 and 17606.

How to find the GCF of 17600 and 17606?

We will first find the prime factorization of 17600 and 17606. After we will calculate the factors of 17600 and 17606 and find the biggest common factor number .

Step-1: Prime Factorization of 17600

Prime factors of 17600 are 2, 5, 11. Prime factorization of 17600 in exponential form is:

17600 = 2⁶ × 5² × 11¹

Step-2: Prime Factorization of 17606

Prime factors of 17606 are 2, 8803. Prime factorization of 17606 in exponential form is:

17606 = 2¹ × 8803¹

Step-3: Factors of 17600

List of positive integer factors of 17600 that divides 17600 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 64, 80, 88, 100, 110, 160, 176, 200, 220, 275, 320, 352, 400, 440, 550, 704, 800, 880, 1100, 1600, 1760, 2200, 3520, 4400, 8800

Step-4: Factors of 17606

List of positive integer factors of 17606 that divides 17600 without a remainder.

1, 2, 8803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17600 and 17606. The biggest common factor number is the GCF number.
So the greatest common factor 17600 and 17606 is 2.

Also check out the Least Common Multiple of 17600 and 17606