What is the Greatest Common Factor of 23686 and 23699?

Greatest common factor (GCF) of 23686 and 23699 is 13.

GCF(23686,23699) = 13

We will now calculate the prime factors of 23686 and 23699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23686 and 23699.

How to find the GCF of 23686 and 23699?

We will first find the prime factorization of 23686 and 23699. After we will calculate the factors of 23686 and 23699 and find the biggest common factor number .

Step-1: Prime Factorization of 23686

Prime factors of 23686 are 2, 13, 911. Prime factorization of 23686 in exponential form is:

23686 = 2¹ × 13¹ × 911¹

Step-2: Prime Factorization of 23699

Prime factors of 23699 are 13, 1823. Prime factorization of 23699 in exponential form is:

23699 = 13¹ × 1823¹

Step-3: Factors of 23686

List of positive integer factors of 23686 that divides 23686 without a remainder.

1, 2, 13, 26, 911, 1822, 11843

Step-4: Factors of 23699

List of positive integer factors of 23699 that divides 23686 without a remainder.

1, 13, 1823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23686 and 23699. The biggest common factor number is the GCF number.
So the greatest common factor 23686 and 23699 is 13.

Also check out the Least Common Multiple of 23686 and 23699