What is the Greatest Common Factor of 17600 and 17605?

Greatest common factor (GCF) of 17600 and 17605 is 5.

GCF(17600,17605) = 5

We will now calculate the prime factors of 17600 and 17605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17600 and 17605.

How to find the GCF of 17600 and 17605?

We will first find the prime factorization of 17600 and 17605. After we will calculate the factors of 17600 and 17605 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 17605

Prime factors of 17605 are 5, 7, 503. Prime factorization of 17605 in exponential form is:

17605 = 5¹ × 7¹ × 503¹

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 17605

List of positive integer factors of 17605 that divides 17600 without a remainder.

1, 5, 7, 35, 503, 2515, 3521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17600 and 17605. The biggest common factor number is the GCF number.
So the greatest common factor 17600 and 17605 is 5.

Also check out the Least Common Multiple of 17600 and 17605