What is the Greatest Common Factor of 23683 and 23694?

Greatest common factor (GCF) of 23683 and 23694 is 11.

GCF(23683,23694) = 11

We will now calculate the prime factors of 23683 and 23694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23683 and 23694.

How to find the GCF of 23683 and 23694?

We will first find the prime factorization of 23683 and 23694. After we will calculate the factors of 23683 and 23694 and find the biggest common factor number .

Step-1: Prime Factorization of 23683

Prime factors of 23683 are 11, 2153. Prime factorization of 23683 in exponential form is:

23683 = 11¹ × 2153¹

Step-2: 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-3: Factors of 23683

List of positive integer factors of 23683 that divides 23683 without a remainder.

1, 11, 2153

Step-4: Factors of 23694

List of positive integer factors of 23694 that divides 23683 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23683 and 23694. The biggest common factor number is the GCF number.
So the greatest common factor 23683 and 23694 is 11.

Also check out the Least Common Multiple of 23683 and 23694