What is the Greatest Common Factor of 17653 and 17669?

Greatest common factor (GCF) of 17653 and 17669 is 1.

GCF(17653,17669) = 1

We will now calculate the prime factors of 17653 and 17669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17653 and 17669.

How to find the GCF of 17653 and 17669?

We will first find the prime factorization of 17653 and 17669. After we will calculate the factors of 17653 and 17669 and find the biggest common factor number .

Step-1: Prime Factorization of 17653

Prime factors of 17653 are 127, 139. Prime factorization of 17653 in exponential form is:

17653 = 127¹ × 139¹

Step-2: Prime Factorization of 17669

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

17669 = 17669¹

Step-3: Factors of 17653

List of positive integer factors of 17653 that divides 17653 without a remainder.

1, 127, 139

Step-4: Factors of 17669

List of positive integer factors of 17669 that divides 17653 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17653 and 17669. The biggest common factor number is the GCF number.
So the greatest common factor 17653 and 17669 is 1.

Also check out the Least Common Multiple of 17653 and 17669