What is the Greatest Common Factor of 23596 and 23613?

Greatest common factor (GCF) of 23596 and 23613 is 17.

GCF(23596,23613) = 17

We will now calculate the prime factors of 23596 and 23613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23596 and 23613.

How to find the GCF of 23596 and 23613?

We will first find the prime factorization of 23596 and 23613. After we will calculate the factors of 23596 and 23613 and find the biggest common factor number .

Step-1: Prime Factorization of 23596

Prime factors of 23596 are 2, 17, 347. Prime factorization of 23596 in exponential form is:

23596 = 2² × 17¹ × 347¹

Step-2: Prime Factorization of 23613

Prime factors of 23613 are 3, 17, 463. Prime factorization of 23613 in exponential form is:

23613 = 3¹ × 17¹ × 463¹

Step-3: Factors of 23596

List of positive integer factors of 23596 that divides 23596 without a remainder.

1, 2, 4, 17, 34, 68, 347, 694, 1388, 5899, 11798

Step-4: Factors of 23613

List of positive integer factors of 23613 that divides 23596 without a remainder.

1, 3, 17, 51, 463, 1389, 7871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23596 and 23613. The biggest common factor number is the GCF number.
So the greatest common factor 23596 and 23613 is 17.

Also check out the Least Common Multiple of 23596 and 23613