What is the Greatest Common Factor of 23694 and 23714?

Greatest common factor (GCF) of 23694 and 23714 is 2.

GCF(23694,23714) = 2

We will now calculate the prime factors of 23694 and 23714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23694 and 23714.

How to find the GCF of 23694 and 23714?

We will first find the prime factorization of 23694 and 23714. After we will calculate the factors of 23694 and 23714 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 23714

Prime factors of 23714 are 2, 71, 167. Prime factorization of 23714 in exponential form is:

23714 = 2¹ × 71¹ × 167¹

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 23714

List of positive integer factors of 23714 that divides 23694 without a remainder.

1, 2, 71, 142, 167, 334, 11857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23694 and 23714. The biggest common factor number is the GCF number.
So the greatest common factor 23694 and 23714 is 2.

Also check out the Least Common Multiple of 23694 and 23714