What is the Greatest Common Factor of 17605 and 17616?

Greatest common factor (GCF) of 17605 and 17616 is 1.

GCF(17605,17616) = 1

We will now calculate the prime factors of 17605 and 17616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17605 and 17616.

How to find the GCF of 17605 and 17616?

We will first find the prime factorization of 17605 and 17616. After we will calculate the factors of 17605 and 17616 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17616

Prime factors of 17616 are 2, 3, 367. Prime factorization of 17616 in exponential form is:

17616 = 2⁴ × 3¹ × 367¹

Step-3: Factors of 17605

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

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

Step-4: Factors of 17616

List of positive integer factors of 17616 that divides 17605 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 367, 734, 1101, 1468, 2202, 2936, 4404, 5872, 8808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17605 and 17616. The biggest common factor number is the GCF number.
So the greatest common factor 17605 and 17616 is 1.

Also check out the Least Common Multiple of 17605 and 17616