What is the Greatest Common Factor of 23605 and 23617?

Greatest common factor (GCF) of 23605 and 23617 is 1.

GCF(23605,23617) = 1

We will now calculate the prime factors of 23605 and 23617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23605 and 23617.

How to find the GCF of 23605 and 23617?

We will first find the prime factorization of 23605 and 23617. After we will calculate the factors of 23605 and 23617 and find the biggest common factor number .

Step-1: Prime Factorization of 23605

Prime factors of 23605 are 5, 4721. Prime factorization of 23605 in exponential form is:

23605 = 5¹ × 4721¹

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 23605

List of positive integer factors of 23605 that divides 23605 without a remainder.

1, 5, 4721

Step-4: Factors of 23617

List of positive integer factors of 23617 that divides 23605 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23605 and 23617. The biggest common factor number is the GCF number.
So the greatest common factor 23605 and 23617 is 1.

Also check out the Least Common Multiple of 23605 and 23617