What is the Greatest Common Factor of 23694 and 23705?

Greatest common factor (GCF) of 23694 and 23705 is 11.

GCF(23694,23705) = 11

We will now calculate the prime factors of 23694 and 23705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23694 and 23705.

How to find the GCF of 23694 and 23705?

We will first find the prime factorization of 23694 and 23705. After we will calculate the factors of 23694 and 23705 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 23705

Prime factors of 23705 are 5, 11, 431. Prime factorization of 23705 in exponential form is:

23705 = 5¹ × 11¹ × 431¹

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 23705

List of positive integer factors of 23705 that divides 23694 without a remainder.

1, 5, 11, 55, 431, 2155, 4741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23694 and 23705. The biggest common factor number is the GCF number.
So the greatest common factor 23694 and 23705 is 11.

Also check out the Least Common Multiple of 23694 and 23705