What is the Greatest Common Factor of 23598 and 23613?

Greatest common factor (GCF) of 23598 and 23613 is 3.

GCF(23598,23613) = 3

We will now calculate the prime factors of 23598 and 23613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23598 and 23613.

How to find the GCF of 23598 and 23613?

We will first find the prime factorization of 23598 and 23613. After we will calculate the factors of 23598 and 23613 and find the biggest common factor number .

Step-1: Prime Factorization of 23598

Prime factors of 23598 are 2, 3, 19, 23. Prime factorization of 23598 in exponential form is:

23598 = 2¹ × 3³ × 19¹ × 23¹

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 23598

List of positive integer factors of 23598 that divides 23598 without a remainder.

1, 2, 3, 6, 9, 18, 19, 23, 27, 38, 46, 54, 57, 69, 114, 138, 171, 207, 342, 414, 437, 513, 621, 874, 1026, 1242, 1311, 2622, 3933, 7866, 11799

Step-4: Factors of 23613

List of positive integer factors of 23613 that divides 23598 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23598 and 23613. The biggest common factor number is the GCF number.
So the greatest common factor 23598 and 23613 is 3.

Also check out the Least Common Multiple of 23598 and 23613