What is the Greatest Common Factor of 17605 and 17617?

Greatest common factor (GCF) of 17605 and 17617 is 1.

GCF(17605,17617) = 1

We will now calculate the prime factors of 17605 and 17617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17605 and 17617.

How to find the GCF of 17605 and 17617?

We will first find the prime factorization of 17605 and 17617. After we will calculate the factors of 17605 and 17617 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 17617

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

17617 = 79¹ × 223¹

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 17617

List of positive integer factors of 17617 that divides 17605 without a remainder.

1, 79, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17605 and 17617. The biggest common factor number is the GCF number.
So the greatest common factor 17605 and 17617 is 1.

Also check out the Least Common Multiple of 17605 and 17617