What is the Greatest Common Factor of 23394 and 23412?

Greatest common factor (GCF) of 23394 and 23412 is 6.

GCF(23394,23412) = 6

We will now calculate the prime factors of 23394 and 23412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23394 and 23412.

How to find the GCF of 23394 and 23412?

We will first find the prime factorization of 23394 and 23412. After we will calculate the factors of 23394 and 23412 and find the biggest common factor number .

Step-1: Prime Factorization of 23394

Prime factors of 23394 are 2, 3, 7, 557. Prime factorization of 23394 in exponential form is:

23394 = 2¹ × 3¹ × 7¹ × 557¹

Step-2: Prime Factorization of 23412

Prime factors of 23412 are 2, 3, 1951. Prime factorization of 23412 in exponential form is:

23412 = 2² × 3¹ × 1951¹

Step-3: Factors of 23394

List of positive integer factors of 23394 that divides 23394 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 557, 1114, 1671, 3342, 3899, 7798, 11697

Step-4: Factors of 23412

List of positive integer factors of 23412 that divides 23394 without a remainder.

1, 2, 3, 4, 6, 12, 1951, 3902, 5853, 7804, 11706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23394 and 23412. The biggest common factor number is the GCF number.
So the greatest common factor 23394 and 23412 is 6.

Also check out the Least Common Multiple of 23394 and 23412