What is the Greatest Common Factor of 17669 and 17685?

Greatest common factor (GCF) of 17669 and 17685 is 1.

GCF(17669,17685) = 1

We will now calculate the prime factors of 17669 and 17685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17669 and 17685.

How to find the GCF of 17669 and 17685?

We will first find the prime factorization of 17669 and 17685. After we will calculate the factors of 17669 and 17685 and find the biggest common factor number .

Step-1: Prime Factorization of 17669

Prime factors of 17669 are 17669. Prime factorization of 17669 in exponential form is:

17669 = 17669¹

Step-2: Prime Factorization of 17685

Prime factors of 17685 are 3, 5, 131. Prime factorization of 17685 in exponential form is:

17685 = 3³ × 5¹ × 131¹

Step-3: Factors of 17669

List of positive integer factors of 17669 that divides 17669 without a remainder.

Step-4: Factors of 17685

List of positive integer factors of 17685 that divides 17669 without a remainder.

1, 3, 5, 9, 15, 27, 45, 131, 135, 393, 655, 1179, 1965, 3537, 5895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17669 and 17685. The biggest common factor number is the GCF number.
So the greatest common factor 17669 and 17685 is 1.

Also check out the Least Common Multiple of 17669 and 17685