What is the Greatest Common Factor of 23694 and 23710?

Greatest common factor (GCF) of 23694 and 23710 is 2.

GCF(23694,23710) = 2

We will now calculate the prime factors of 23694 and 23710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23694 and 23710.

How to find the GCF of 23694 and 23710?

We will first find the prime factorization of 23694 and 23710. After we will calculate the factors of 23694 and 23710 and find the biggest common factor number .

Step-1: Prime Factorization of 23694

Prime factors of 23694 are 2, 3, 11, 359. Prime factorization of 23694 in exponential form is:

23694 = 2¹ × 3¹ × 11¹ × 359¹

Step-2: Prime Factorization of 23710

Prime factors of 23710 are 2, 5, 2371. Prime factorization of 23710 in exponential form is:

23710 = 2¹ × 5¹ × 2371¹

Step-3: Factors of 23694

List of positive integer factors of 23694 that divides 23694 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 359, 718, 1077, 2154, 3949, 7898, 11847

Step-4: Factors of 23710

List of positive integer factors of 23710 that divides 23694 without a remainder.

1, 2, 5, 10, 2371, 4742, 11855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23694 and 23710. The biggest common factor number is the GCF number.
So the greatest common factor 23694 and 23710 is 2.

Also check out the Least Common Multiple of 23694 and 23710