What is the Greatest Common Factor of 17600 and 17617?

Greatest common factor (GCF) of 17600 and 17617 is 1.

GCF(17600,17617) = 1

We will now calculate the prime factors of 17600 and 17617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17600 and 17617.

How to find the GCF of 17600 and 17617?

We will first find the prime factorization of 17600 and 17617. After we will calculate the factors of 17600 and 17617 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 17617

Prime factors of 17617 are 79, 223. Prime factorization of 17617 in exponential form is:

17617 = 79¹ × 223¹

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 17617

List of positive integer factors of 17617 that divides 17600 without a remainder.

1, 79, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17600 and 17617. The biggest common factor number is the GCF number.
So the greatest common factor 17600 and 17617 is 1.

Also check out the Least Common Multiple of 17600 and 17617