What is the Greatest Common Factor of 23609 and 23617?

Greatest common factor (GCF) of 23609 and 23617 is 1.

GCF(23609,23617) = 1

We will now calculate the prime factors of 23609 and 23617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23609 and 23617.

How to find the GCF of 23609 and 23617?

We will first find the prime factorization of 23609 and 23617. After we will calculate the factors of 23609 and 23617 and find the biggest common factor number .

Step-1: Prime Factorization of 23609

Prime factors of 23609 are 23609. Prime factorization of 23609 in exponential form is:

23609 = 23609¹

Step-2: Prime Factorization of 23617

Prime factors of 23617 are 11, 19, 113. Prime factorization of 23617 in exponential form is:

23617 = 11¹ × 19¹ × 113¹

Step-3: Factors of 23609

List of positive integer factors of 23609 that divides 23609 without a remainder.

Step-4: Factors of 23617

List of positive integer factors of 23617 that divides 23609 without a remainder.

1, 11, 19, 113, 209, 1243, 2147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23609 and 23617. The biggest common factor number is the GCF number.
So the greatest common factor 23609 and 23617 is 1.

Also check out the Least Common Multiple of 23609 and 23617